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Estimation

linear-demand linear-cost, \(\sigma = 1\)

\(\theta = 0.05\)

\(\alpha_2 = 0.1\)

\(n = 50\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 50.000 0.000 50.000 50.000 50.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.820 0.999 7.959 9.580 15.288
α_1 100 0 0.823 0.854 −1.470 0.766 3.413
α_2 100 0 0.110 0.080 −0.105 0.109 0.348
α_3 100 0 0.979 0.217 0.504 0.962 1.691
γ_0 100 0 0.885 2.320 −17.271 1.197 4.363
γ_1 100 0 −78.551 510.616 −4324.936 1.027 70.757
γ_2 100 0 1.011 0.233 0.530 0.988 2.311
γ_3 100 0 1.030 0.317 0.651 0.997 3.437
θ 100 0 48.179 306.638 −41.122 0.033 2491.819
sd_α_0 100 0 0.073 0.026 0.038 0.066 0.198
sd_α_1 100 0 0.101 0.027 0.048 0.098 0.196
sd_α_2 100 0 0.010 0.003 0.005 0.010 0.019
sd_α_3 100 0 0.024 0.006 0.012 0.023 0.058
sd_γ_0 100 0 0.735 0.435 0.336 0.652 3.882
sd_γ_1 100 0 18.695 105.148 0.153 0.543 756.931
sd_γ_2 100 0 0.027 0.010 0.015 0.024 0.088
sd_γ_3 100 0 0.028 0.013 0.014 0.026 0.126
sd_θ 100 0 0.071 0.041 0.033 0.062 0.363
status 2 0 4.070 0.700 4.000 4.000 11.000
status_indicator 2 0 0.990 0.100 0.000 1.000 1.000
\(n = 100\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 100.000 0.000 100.000 100.000 100.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.978 0.747 8.375 9.847 12.592
α_1 100 0 0.833 0.675 −0.830 0.745 2.707
α_2 100 0 0.115 0.061 −0.056 0.113 0.304
α_3 100 0 1.000 0.167 0.570 0.990 1.613
γ_0 100 0 0.845 1.132 −2.634 0.791 2.968
γ_1 100 0 −76.337 771.628 −7715.434 1.072 4.441
γ_2 100 0 1.017 0.171 0.664 1.012 1.493
γ_3 100 0 1.018 0.162 0.711 0.988 1.407
θ 100 0 43.513 433.437 −1.487 0.064 4334.527
sd_α_0 100 0 0.038 0.010 0.020 0.036 0.072
sd_α_1 100 0 0.052 0.012 0.032 0.049 0.087
sd_α_2 100 0 0.005 0.001 0.003 0.005 0.009
sd_α_3 100 0 0.012 0.003 0.008 0.011 0.022
sd_γ_0 100 0 0.347 0.092 0.180 0.339 0.598
sd_γ_1 100 0 17.609 171.894 0.108 0.259 1719.352
sd_γ_2 100 0 0.013 0.003 0.008 0.013 0.020
sd_γ_3 100 0 0.013 0.003 0.009 0.013 0.021
sd_θ 100 0 0.034 0.009 0.018 0.033 0.058
status 2 0 4.070 0.700 4.000 4.000 11.000
status_indicator 2 0 0.990 0.100 0.000 1.000 1.000
\(n = 200\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 200.000 0.000 200.000 200.000 200.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.973 0.410 9.143 9.948 10.873
α_1 100 0 0.947 0.358 0.030 0.932 1.842
α_2 100 0 0.104 0.034 0.028 0.103 0.204
α_3 100 0 0.998 0.103 0.757 0.985 1.293
γ_0 100 0 0.853 0.751 −0.897 0.999 2.610
γ_1 100 0 1.016 0.984 −3.260 0.931 3.577
γ_2 100 0 1.011 0.107 0.780 1.008 1.251
γ_3 100 0 1.021 0.103 0.828 1.003 1.332
θ 100 0 0.067 0.499 −1.557 0.102 2.117
sd_α_0 100 0 0.019 0.003 0.012 0.019 0.025
sd_α_1 100 0 0.026 0.004 0.017 0.025 0.035
sd_α_2 100 0 0.003 0.000 0.002 0.002 0.003
sd_α_3 100 0 0.006 0.001 0.003 0.006 0.008
sd_γ_0 100 0 0.173 0.034 0.105 0.170 0.270
sd_γ_1 100 0 0.178 0.086 0.066 0.162 0.652
sd_γ_2 100 0 0.006 0.001 0.004 0.006 0.009
sd_γ_3 100 0 0.006 0.001 0.005 0.006 0.009
sd_θ 100 0 0.017 0.003 0.010 0.017 0.027
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 1000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 1000.000 0.000 1000.000 1000.000 1000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.997 0.199 9.646 9.993 10.439
α_1 100 0 0.995 0.169 0.621 0.983 1.359
α_2 100 0 0.101 0.018 0.067 0.101 0.140
α_3 100 0 1.001 0.046 0.901 0.994 1.106
γ_0 100 0 0.980 0.319 0.045 1.018 1.729
γ_1 100 0 1.032 0.315 0.194 1.014 1.988
γ_2 100 0 1.003 0.051 0.889 0.997 1.152
γ_3 100 0 1.003 0.042 0.875 1.003 1.110
θ 100 0 0.037 0.165 −0.484 0.047 0.487
sd_α_0 100 0 0.004 0.000 0.003 0.004 0.004
sd_α_1 100 0 0.005 0.000 0.004 0.005 0.006
sd_α_2 100 0 0.000 0.000 0.000 0.000 0.001
sd_α_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_0 100 0 0.034 0.003 0.028 0.033 0.044
sd_γ_1 100 0 0.033 0.006 0.021 0.032 0.052
sd_γ_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_θ 100 0 0.003 0.000 0.003 0.003 0.004
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 2000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 2000.000 0.000 2000.000 2000.000 2000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.996 0.146 9.640 9.993 10.428
α_1 100 0 1.012 0.118 0.683 1.016 1.274
α_2 100 0 0.099 0.011 0.073 0.099 0.124
α_3 100 0 1.000 0.037 0.909 1.002 1.081
γ_0 100 0 1.037 0.203 0.572 1.049 1.469
γ_1 100 0 0.997 0.244 0.376 1.000 1.534
γ_2 100 0 0.996 0.031 0.926 0.994 1.078
γ_3 100 0 1.000 0.026 0.931 1.000 1.060
θ 100 0 0.046 0.130 −0.225 0.042 0.325
sd_α_0 100 0 0.002 0.000 0.002 0.002 0.002
sd_α_1 100 0 0.003 0.000 0.002 0.003 0.003
sd_α_2 100 0 0.000 0.000 0.000 0.000 0.000
sd_α_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_0 100 0 0.017 0.001 0.014 0.017 0.020
sd_γ_1 100 0 0.016 0.002 0.012 0.017 0.024
sd_γ_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_θ 100 0 0.002 0.000 0.001 0.002 0.002
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 5000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 5000.000 0.000 5000.000 5000.000 5000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.003 0.080 9.808 10.004 10.179
α_1 100 0 1.000 0.075 0.819 0.995 1.214
α_2 100 0 0.100 0.007 0.080 0.101 0.117
α_3 100 0 1.000 0.021 0.950 0.999 1.063
γ_0 100 0 1.003 0.154 0.619 1.014 1.372
γ_1 100 0 0.976 0.136 0.590 0.996 1.263
γ_2 100 0 1.000 0.022 0.938 0.999 1.047
γ_3 100 0 1.001 0.020 0.965 1.000 1.061
θ 100 0 0.062 0.075 −0.088 0.051 0.284
sd_α_0 100 0 0.001 0.000 0.001 0.001 0.001
sd_α_1 100 0 0.001 0.000 0.001 0.001 0.001
sd_α_2 100 0 0.000 0.000 0.000 0.000 0.000
sd_α_3 100 0 0.000 0.000 0.000 0.000 0.000
sd_γ_0 100 0 0.007 0.000 0.006 0.007 0.008
sd_γ_1 100 0 0.006 0.001 0.006 0.006 0.008
sd_γ_2 100 0 0.000 0.000 0.000 0.000 0.000
sd_γ_3 100 0 0.000 0.000 0.000 0.000 0.000
sd_θ 100 0 0.001 0.000 0.001 0.001 0.001
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000

\(\alpha_2 = 0.5\)

\(n = 50\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 50.000 0.000 50.000 50.000 50.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.059 1.165 7.650 9.738 14.910
α_1 100 0 1.176 1.935 −3.982 1.278 7.462
α_2 100 0 0.490 0.207 0.124 0.465 1.534
α_3 100 0 0.985 0.246 0.477 0.942 1.737
γ_0 100 0 0.729 1.769 −8.802 0.906 3.573
γ_1 100 0 0.810 3.272 −5.914 0.868 15.210
γ_2 100 0 1.029 0.261 0.555 1.012 2.072
γ_3 100 0 1.049 0.268 0.410 0.999 2.476
θ 100 0 0.129 0.535 −1.646 0.127 1.327
sd_α_0 100 0 0.082 0.035 0.042 0.071 0.265
sd_α_1 100 0 0.248 0.071 0.120 0.233 0.498
sd_α_2 100 0 0.026 0.007 0.013 0.025 0.051
sd_α_3 100 0 0.025 0.008 0.011 0.023 0.060
sd_γ_0 100 0 0.715 0.255 0.311 0.679 1.605
sd_γ_1 100 0 1.200 0.868 0.192 1.016 6.095
sd_γ_2 100 0 0.027 0.008 0.014 0.026 0.059
sd_γ_3 100 0 0.028 0.010 0.013 0.026 0.082
sd_θ 100 0 0.069 0.024 0.027 0.068 0.154
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 100\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 100.000 0.000 100.000 100.000 100.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.954 0.651 8.636 9.896 11.753
α_1 100 0 1.072 1.230 −1.860 1.047 3.562
α_2 100 0 0.486 0.131 0.170 0.479 0.855
α_3 100 0 1.000 0.157 0.639 0.996 1.408
γ_0 100 0 0.845 0.956 −1.477 0.926 2.493
γ_1 100 0 0.945 1.557 −2.514 0.754 6.600
γ_2 100 0 1.022 0.139 0.782 1.020 1.473
γ_3 100 0 1.019 0.148 0.639 1.030 1.404
θ 100 0 0.080 0.275 −1.013 0.106 0.552
sd_α_0 100 0 0.039 0.010 0.022 0.037 0.073
sd_α_1 100 0 0.117 0.025 0.056 0.115 0.192
sd_α_2 100 0 0.012 0.003 0.007 0.012 0.019
sd_α_3 100 0 0.012 0.002 0.007 0.012 0.017
sd_γ_0 100 0 0.336 0.083 0.153 0.331 0.634
sd_γ_1 100 0 0.489 0.208 0.200 0.464 1.527
sd_γ_2 100 0 0.013 0.003 0.008 0.013 0.020
sd_γ_3 100 0 0.013 0.003 0.008 0.013 0.021
sd_θ 100 0 0.033 0.008 0.014 0.033 0.062
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 200\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 200.000 0.000 200.000 200.000 200.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.044 0.566 8.881 10.032 11.537
α_1 100 0 1.174 1.117 −1.140 0.994 4.438
α_2 100 0 0.489 0.121 0.227 0.496 0.754
α_3 100 0 1.002 0.118 0.800 0.995 1.399
γ_0 100 0 0.951 0.752 −1.084 0.967 2.826
γ_1 100 0 1.059 1.226 −1.989 1.206 3.678
γ_2 100 0 1.007 0.111 0.782 1.002 1.320
γ_3 100 0 1.009 0.113 0.724 1.006 1.378
θ 100 0 0.057 0.214 −0.394 0.017 0.707
sd_α_0 100 0 0.019 0.004 0.013 0.019 0.034
sd_α_1 100 0 0.060 0.011 0.033 0.059 0.098
sd_α_2 100 0 0.006 0.001 0.004 0.006 0.010
sd_α_3 100 0 0.006 0.001 0.004 0.006 0.009
sd_γ_0 100 0 0.167 0.036 0.099 0.161 0.243
sd_γ_1 100 0 0.249 0.111 0.111 0.229 0.877
sd_γ_2 100 0 0.006 0.001 0.004 0.006 0.009
sd_γ_3 100 0 0.006 0.001 0.004 0.006 0.009
sd_θ 100 0 0.016 0.004 0.010 0.016 0.024
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 1000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 1000.000 0.000 1000.000 1000.000 1000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.016 0.175 9.584 10.020 10.482
α_1 100 0 1.003 0.360 0.058 0.995 1.761
α_2 100 0 0.501 0.041 0.418 0.497 0.596
α_3 100 0 1.004 0.044 0.928 1.001 1.117
γ_0 100 0 0.993 0.262 0.376 0.990 1.768
γ_1 100 0 1.031 0.453 0.014 1.033 2.079
γ_2 100 0 0.999 0.041 0.880 1.001 1.117
γ_3 100 0 0.996 0.043 0.879 0.996 1.117
θ 100 0 0.046 0.085 −0.204 0.040 0.230
sd_α_0 100 0 0.004 0.000 0.003 0.004 0.005
sd_α_1 100 0 0.011 0.001 0.010 0.011 0.014
sd_α_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_α_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_0 100 0 0.032 0.003 0.027 0.032 0.039
sd_γ_1 100 0 0.043 0.005 0.032 0.043 0.056
sd_γ_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_θ 100 0 0.003 0.000 0.003 0.003 0.004
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 2000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 2000.000 0.000 2000.000 2000.000 2000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.012 0.137 9.681 9.998 10.394
α_1 100 0 0.991 0.228 0.396 1.004 1.556
α_2 100 0 0.503 0.027 0.432 0.503 0.568
α_3 100 0 1.005 0.031 0.929 1.009 1.097
γ_0 100 0 1.005 0.227 0.326 0.996 1.614
γ_1 100 0 0.981 0.357 0.213 1.023 1.822
γ_2 100 0 1.000 0.036 0.923 1.002 1.124
γ_3 100 0 0.999 0.034 0.928 0.996 1.094
θ 100 0 0.051 0.064 −0.082 0.047 0.204
sd_α_0 100 0 0.002 0.000 0.002 0.002 0.002
sd_α_1 100 0 0.006 0.000 0.005 0.006 0.007
sd_α_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_α_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_0 100 0 0.016 0.001 0.014 0.016 0.019
sd_γ_1 100 0 0.022 0.002 0.018 0.022 0.026
sd_γ_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_θ 100 0 0.002 0.000 0.001 0.002 0.002
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 5000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 5000.000 0.000 5000.000 5000.000 5000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.008 0.089 9.823 10.002 10.274
α_1 100 0 1.009 0.192 0.503 1.023 1.425
α_2 100 0 0.500 0.019 0.454 0.501 0.557
α_3 100 0 0.999 0.019 0.947 1.001 1.035
γ_0 100 0 0.984 0.119 0.739 0.983 1.287
γ_1 100 0 1.014 0.190 0.295 1.013 1.393
γ_2 100 0 1.001 0.018 0.959 1.002 1.042
γ_3 100 0 1.003 0.020 0.958 1.002 1.046
θ 100 0 0.050 0.036 −0.037 0.055 0.161
sd_α_0 100 0 0.001 0.000 0.001 0.001 0.001
sd_α_1 100 0 0.002 0.000 0.002 0.002 0.003
sd_α_2 100 0 0.000 0.000 0.000 0.000 0.000
sd_α_3 100 0 0.000 0.000 0.000 0.000 0.000
sd_γ_0 100 0 0.007 0.000 0.006 0.007 0.007
sd_γ_1 100 0 0.009 0.001 0.007 0.009 0.010
sd_γ_2 100 0 0.000 0.000 0.000 0.000 0.000
sd_γ_3 100 0 0.000 0.000 0.000 0.000 0.000
sd_θ 100 0 0.001 0.000 0.001 0.001 0.001
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000

\(\alpha_2 = 1.0\)

\(n = 50\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 50.000 0.000 50.000 50.000 50.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.938 0.885 7.920 9.922 12.191
α_1 100 0 0.918 3.283 −7.741 1.125 7.618
α_2 100 0 0.994 0.361 0.001 0.966 1.926
α_3 100 0 0.993 0.217 0.563 0.996 1.477
γ_0 100 0 0.640 2.061 −14.446 1.015 4.087
γ_1 100 0 −75.420 768.193 −7680.416 1.361 11.237
γ_2 100 0 1.059 0.302 0.575 1.000 3.281
γ_3 100 0 1.069 0.261 0.610 1.043 2.256
θ 100 0 11.853 117.778 −1.131 0.025 1177.841
sd_α_0 100 0 0.074 0.023 0.034 0.069 0.145
sd_α_1 100 0 0.384 0.120 0.142 0.363 0.768
sd_α_2 100 0 0.041 0.012 0.019 0.038 0.078
sd_α_3 100 0 0.024 0.006 0.014 0.023 0.039
sd_γ_0 100 0 0.707 0.229 0.263 0.684 1.654
sd_γ_1 100 0 17.597 159.878 0.367 1.484 1600.370
sd_γ_2 100 0 0.028 0.012 0.013 0.026 0.122
sd_γ_3 100 0 0.030 0.011 0.016 0.028 0.103
sd_θ 100 0 0.069 0.021 0.027 0.066 0.141
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 100\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 100.000 0.000 100.000 100.000 100.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.938 0.640 8.767 9.912 11.649
α_1 100 0 1.277 2.296 −3.572 1.307 9.090
α_2 100 0 0.957 0.243 0.171 0.962 1.500
α_3 100 0 0.996 0.141 0.591 0.976 1.348
γ_0 100 0 0.750 1.261 −4.133 0.881 3.111
γ_1 100 0 0.659 2.761 −10.647 0.663 7.674
γ_2 100 0 1.029 0.177 0.625 1.014 1.746
γ_3 100 0 1.012 0.174 0.624 0.990 1.609
θ 100 0 0.116 0.303 −0.539 0.074 1.304
sd_α_0 100 0 0.039 0.010 0.020 0.037 0.071
sd_α_1 100 0 0.196 0.043 0.120 0.188 0.330
sd_α_2 100 0 0.021 0.004 0.013 0.020 0.035
sd_α_3 100 0 0.012 0.002 0.007 0.011 0.019
sd_γ_0 100 0 0.336 0.092 0.115 0.326 0.675
sd_γ_1 100 0 0.796 0.531 0.247 0.697 5.007
sd_γ_2 100 0 0.013 0.003 0.007 0.013 0.025
sd_γ_3 100 0 0.013 0.003 0.008 0.012 0.024
sd_θ 100 0 0.033 0.009 0.010 0.032 0.066
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 200\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 200.000 0.000 200.000 200.000 200.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.007 0.499 8.849 9.898 12.162
α_1 100 0 1.156 1.481 −2.597 1.140 5.041
α_2 100 0 0.986 0.184 0.567 0.987 1.489
α_3 100 0 0.997 0.102 0.805 0.980 1.371
γ_0 100 0 0.951 0.702 −0.596 0.977 2.583
γ_1 100 0 1.142 1.640 −3.068 1.222 5.098
γ_2 100 0 1.012 0.100 0.806 1.008 1.282
γ_3 100 0 1.010 0.102 0.796 1.011 1.316
θ 100 0 0.039 0.159 −0.323 0.032 0.481
sd_α_0 100 0 0.019 0.004 0.011 0.018 0.043
sd_α_1 100 0 0.098 0.018 0.066 0.095 0.168
sd_α_2 100 0 0.010 0.002 0.007 0.010 0.018
sd_α_3 100 0 0.006 0.001 0.004 0.006 0.010
sd_γ_0 100 0 0.163 0.029 0.095 0.161 0.247
sd_γ_1 100 0 0.350 0.092 0.138 0.336 0.593
sd_γ_2 100 0 0.006 0.001 0.004 0.006 0.009
sd_γ_3 100 0 0.006 0.001 0.004 0.006 0.008
sd_θ 100 0 0.016 0.003 0.008 0.016 0.023
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 1000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 1000.000 0.000 1000.000 1000.000 1000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.006 0.190 9.664 10.007 10.476
α_1 100 0 1.074 0.713 −0.916 1.075 3.064
α_2 100 0 0.994 0.084 0.760 0.989 1.234
α_3 100 0 0.998 0.048 0.896 0.995 1.125
γ_0 100 0 1.022 0.287 0.150 1.027 1.582
γ_1 100 0 0.969 0.670 −1.149 1.006 2.646
γ_2 100 0 0.996 0.043 0.874 0.992 1.111
γ_3 100 0 1.009 0.040 0.916 1.009 1.120
θ 100 0 0.052 0.072 −0.154 0.052 0.304
sd_α_0 100 0 0.004 0.000 0.003 0.004 0.004
sd_α_1 100 0 0.020 0.001 0.016 0.020 0.023
sd_α_2 100 0 0.002 0.000 0.002 0.002 0.002
sd_α_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_0 100 0 0.032 0.003 0.027 0.031 0.042
sd_γ_1 100 0 0.067 0.008 0.049 0.066 0.096
sd_γ_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_θ 100 0 0.003 0.000 0.003 0.003 0.004
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 2000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 2000.000 0.000 2000.000 2000.000 2000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.010 0.126 9.731 9.995 10.335
α_1 100 0 1.019 0.463 0.015 1.021 2.032
α_2 100 0 1.000 0.053 0.850 1.000 1.129
α_3 100 0 1.003 0.031 0.938 1.005 1.062
γ_0 100 0 0.988 0.220 0.492 0.992 1.562
γ_1 100 0 0.960 0.521 −0.133 0.954 2.213
γ_2 100 0 1.003 0.032 0.919 1.006 1.068
γ_3 100 0 0.998 0.029 0.913 0.995 1.085
θ 100 0 0.054 0.049 −0.057 0.050 0.160
sd_α_0 100 0 0.002 0.000 0.002 0.002 0.002
sd_α_1 100 0 0.010 0.000 0.009 0.010 0.011
sd_α_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_α_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_0 100 0 0.016 0.001 0.014 0.016 0.019
sd_γ_1 100 0 0.034 0.003 0.028 0.033 0.042
sd_γ_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_θ 100 0 0.002 0.000 0.001 0.002 0.002
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 5000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 5000.000 0.000 5000.000 5000.000 5000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.012 0.085 9.768 10.013 10.200
α_1 100 0 1.054 0.308 0.219 1.050 1.716
α_2 100 0 0.997 0.033 0.930 0.993 1.075
α_3 100 0 1.003 0.020 0.959 1.002 1.049
γ_0 100 0 1.002 0.144 0.629 1.009 1.361
γ_1 100 0 0.988 0.338 0.080 1.025 1.926
γ_2 100 0 1.001 0.020 0.954 1.001 1.053
γ_3 100 0 0.999 0.022 0.933 1.000 1.051
θ 100 0 0.050 0.035 −0.040 0.051 0.141
sd_α_0 100 0 0.001 0.000 0.001 0.001 0.001
sd_α_1 100 0 0.004 0.000 0.004 0.004 0.004
sd_α_2 100 0 0.000 0.000 0.000 0.000 0.000
sd_α_3 100 0 0.000 0.000 0.000 0.000 0.000
sd_γ_0 100 0 0.006 0.000 0.006 0.006 0.007
sd_γ_1 100 0 0.013 0.001 0.011 0.013 0.015
sd_γ_2 100 0 0.000 0.000 0.000 0.000 0.000
sd_γ_3 100 0 0.000 0.000 0.000 0.000 0.000
sd_θ 100 0 0.001 0.000 0.001 0.001 0.001
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000

\(\alpha_2 = 5.0\)

\(n = 50\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 50.000 0.000 50.000 50.000 50.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.027 0.973 8.184 9.967 14.140
α_1 100 0 2.793 15.115 −34.879 2.222 36.412
α_2 100 0 4.848 1.764 1.841 4.817 9.933
α_3 100 0 1.004 0.222 0.481 0.970 1.743
γ_0 100 0 0.904 1.700 −4.256 1.140 3.702
γ_1 100 0 3.342 16.518 −32.573 3.749 46.579
γ_2 100 0 0.987 0.221 0.530 0.970 1.602
γ_3 100 0 1.025 0.255 0.477 1.000 2.254
θ 100 0 0.035 0.415 −0.927 −0.009 1.357
sd_α_0 100 0 0.082 0.028 0.038 0.078 0.191
sd_α_1 100 0 1.791 0.566 0.750 1.726 3.987
sd_α_2 100 0 0.191 0.057 0.091 0.184 0.441
sd_α_3 100 0 0.025 0.007 0.013 0.023 0.055
sd_γ_0 100 0 0.740 0.294 0.246 0.662 1.785
sd_γ_1 100 0 7.248 4.283 2.196 5.986 25.028
sd_γ_2 100 0 0.027 0.009 0.011 0.025 0.065
sd_γ_3 100 0 0.027 0.009 0.014 0.025 0.061
sd_θ 100 0 0.072 0.029 0.023 0.065 0.174
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 100\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 100.000 0.000 100.000 100.000 100.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.961 0.545 8.679 9.945 11.240
α_1 100 0 1.358 8.303 −18.125 1.695 18.536
α_2 100 0 4.939 0.965 2.676 4.963 7.482
α_3 100 0 0.994 0.134 0.628 0.996 1.392
γ_0 100 0 0.870 0.891 −2.312 0.924 2.966
γ_1 100 0 −1.595 10.364 −32.843 −1.492 21.853
γ_2 100 0 1.018 0.133 0.716 1.011 1.456
γ_3 100 0 1.023 0.151 0.691 1.036 1.395
θ 100 0 0.121 0.227 −0.359 0.120 0.947
sd_α_0 100 0 0.038 0.009 0.022 0.037 0.068
sd_α_1 100 0 0.836 0.205 0.424 0.812 1.515
sd_α_2 100 0 0.090 0.020 0.053 0.087 0.155
sd_α_3 100 0 0.012 0.002 0.008 0.011 0.019
sd_γ_0 100 0 0.324 0.082 0.167 0.305 0.617
sd_γ_1 100 0 2.801 1.015 1.216 2.632 6.372
sd_γ_2 100 0 0.013 0.003 0.008 0.013 0.022
sd_γ_3 100 0 0.013 0.003 0.008 0.012 0.025
sd_θ 100 0 0.031 0.008 0.017 0.030 0.061
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 200\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 200.000 0.000 200.000 200.000 200.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.967 0.396 9.046 9.941 10.802
α_1 100 0 0.952 7.211 −15.549 1.057 18.070
α_2 100 0 4.972 0.807 3.013 4.915 6.846
α_3 100 0 1.001 0.099 0.769 0.993 1.269
γ_0 100 0 1.000 0.728 −0.759 1.040 2.401
γ_1 100 0 1.201 7.393 −16.017 0.730 22.576
γ_2 100 0 0.997 0.105 0.778 0.991 1.339
γ_3 100 0 1.008 0.109 0.781 0.998 1.265
θ 100 0 0.052 0.179 −0.443 0.026 0.470
sd_α_0 100 0 0.019 0.003 0.013 0.019 0.026
sd_α_1 100 0 0.426 0.070 0.297 0.416 0.730
sd_α_2 100 0 0.046 0.007 0.033 0.045 0.071
sd_α_3 100 0 0.006 0.001 0.004 0.006 0.008
sd_γ_0 100 0 0.163 0.031 0.108 0.155 0.252
sd_γ_1 100 0 1.396 0.397 0.715 1.341 2.817
sd_γ_2 100 0 0.006 0.001 0.005 0.006 0.008
sd_γ_3 100 0 0.006 0.001 0.004 0.006 0.009
sd_θ 100 0 0.016 0.003 0.010 0.015 0.025
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 1000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 1000.000 0.000 1000.000 1000.000 1000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.021 0.196 9.574 9.984 10.626
α_1 100 0 1.292 2.799 −5.567 0.953 9.036
α_2 100 0 4.988 0.341 4.140 4.967 5.810
α_3 100 0 1.001 0.047 0.903 1.002 1.120
γ_0 100 0 1.023 0.296 0.171 1.025 1.626
γ_1 100 0 0.913 3.009 −5.073 1.151 8.242
γ_2 100 0 0.996 0.043 0.900 0.994 1.111
γ_3 100 0 1.002 0.046 0.881 0.998 1.107
θ 100 0 0.049 0.069 −0.114 0.044 0.193
sd_α_0 100 0 0.004 0.000 0.003 0.004 0.005
sd_α_1 100 0 0.085 0.006 0.071 0.084 0.105
sd_α_2 100 0 0.009 0.001 0.008 0.009 0.011
sd_α_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_0 100 0 0.031 0.003 0.025 0.031 0.041
sd_γ_1 100 0 0.260 0.031 0.176 0.253 0.416
sd_γ_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_θ 100 0 0.003 0.000 0.002 0.003 0.004
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 2000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 2000.000 0.000 2000.000 2000.000 2000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.003 0.139 9.664 9.999 10.391
α_1 100 0 0.892 1.788 −4.114 0.834 4.986
α_2 100 0 5.011 0.207 4.459 5.035 5.508
α_3 100 0 0.999 0.029 0.933 0.997 1.060
γ_0 100 0 1.027 0.191 0.554 1.038 1.529
γ_1 100 0 0.824 2.086 −5.514 0.945 6.108
γ_2 100 0 0.998 0.028 0.927 0.999 1.073
γ_3 100 0 0.997 0.032 0.924 0.995 1.068
θ 100 0 0.050 0.046 −0.063 0.052 0.192
sd_α_0 100 0 0.002 0.000 0.002 0.002 0.002
sd_α_1 100 0 0.042 0.002 0.037 0.042 0.047
sd_α_2 100 0 0.005 0.000 0.004 0.005 0.005
sd_α_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_0 100 0 0.016 0.001 0.013 0.015 0.018
sd_γ_1 100 0 0.128 0.011 0.108 0.127 0.153
sd_γ_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_θ 100 0 0.002 0.000 0.001 0.002 0.002
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 5000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 5000.000 0.000 5000.000 5000.000 5000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.000 0.082 9.776 9.995 10.227
α_1 100 0 0.978 1.209 −2.241 1.031 4.140
α_2 100 0 5.003 0.142 4.679 4.974 5.388
α_3 100 0 1.001 0.019 0.959 1.000 1.047
γ_0 100 0 1.013 0.119 0.726 1.010 1.293
γ_1 100 0 0.783 1.292 −2.388 0.935 3.540
γ_2 100 0 1.000 0.018 0.954 1.000 1.049
γ_3 100 0 1.000 0.019 0.927 1.001 1.047
θ 100 0 0.052 0.026 −0.005 0.049 0.119
sd_α_0 100 0 0.001 0.000 0.001 0.001 0.001
sd_α_1 100 0 0.017 0.001 0.015 0.017 0.018
sd_α_2 100 0 0.002 0.000 0.002 0.002 0.002
sd_α_3 100 0 0.000 0.000 0.000 0.000 0.000
sd_γ_0 100 0 0.006 0.000 0.006 0.006 0.007
sd_γ_1 100 0 0.052 0.003 0.044 0.052 0.064
sd_γ_2 100 0 0.000 0.000 0.000 0.000 0.000
sd_γ_3 100 0 0.000 0.000 0.000 0.000 0.000
sd_θ 100 0 0.001 0.000 0.001 0.001 0.001
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000

\(\alpha_2 = 20.0\)

\(n = 50\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 50.000 0.000 50.000 50.000 50.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.078 1.156 7.657 10.040 17.632
α_1 100 0 2.394 47.415 −116.140 1.859 116.686
α_2 100 0 20.067 5.963 8.920 19.537 49.105
α_3 100 0 1.028 0.243 0.532 0.999 2.502
γ_0 100 0 1.099 1.335 −5.080 1.365 3.467
γ_1 100 0 11.897 57.608 −94.735 18.775 208.804
γ_2 100 0 0.987 0.216 0.494 0.972 1.955
γ_3 100 0 0.983 0.224 0.552 0.945 1.687
θ 100 0 −0.012 0.361 −1.222 −0.025 1.432
sd_α_0 100 0 0.081 0.035 0.039 0.072 0.337
sd_α_1 100 0 7.027 2.403 3.843 6.692 19.733
sd_α_2 100 0 0.753 0.249 0.436 0.710 2.154
sd_α_3 100 0 0.025 0.008 0.012 0.023 0.072
sd_γ_0 100 0 0.684 0.225 0.280 0.664 1.395
sd_γ_1 100 0 23.994 13.107 5.787 20.887 94.508
sd_γ_2 100 0 0.026 0.008 0.013 0.025 0.055
sd_γ_3 100 0 0.026 0.008 0.012 0.024 0.061
sd_θ 100 0 0.067 0.022 0.026 0.064 0.140
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 100\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 100.000 0.000 100.000 100.000 100.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.000 0.682 8.803 9.929 12.743
α_1 100 0 2.544 33.319 −74.863 0.205 79.604
α_2 100 0 19.850 3.830 11.814 20.057 30.398
α_3 100 0 0.992 0.157 0.692 0.984 1.611
γ_0 100 0 0.911 0.894 −1.489 0.976 2.832
γ_1 100 0 −0.519 40.158 −115.921 −0.394 114.922
γ_2 100 0 1.021 0.138 0.680 1.028 1.385
γ_3 100 0 1.006 0.140 0.695 0.998 1.461
θ 100 0 0.067 0.216 −0.399 0.048 0.700
sd_α_0 100 0 0.040 0.011 0.023 0.037 0.086
sd_α_1 100 0 3.360 0.729 1.859 3.333 5.682
sd_α_2 100 0 0.363 0.070 0.218 0.362 0.550
sd_α_3 100 0 0.012 0.003 0.008 0.011 0.024
sd_γ_0 100 0 0.342 0.086 0.189 0.340 0.592
sd_γ_1 100 0 11.257 4.119 4.426 10.430 29.509
sd_γ_2 100 0 0.013 0.003 0.008 0.012 0.023
sd_γ_3 100 0 0.013 0.003 0.009 0.012 0.021
sd_θ 100 0 0.033 0.008 0.017 0.032 0.059
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 200\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 200.000 0.000 200.000 200.000 200.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.994 0.371 9.163 10.035 11.065
α_1 100 0 0.532 21.853 −67.392 −0.577 48.025
α_2 100 0 20.039 2.642 13.664 20.145 27.673
α_3 100 0 0.991 0.103 0.703 1.002 1.231
γ_0 100 0 0.994 0.802 −1.146 1.086 2.491
γ_1 100 0 3.178 21.209 −59.636 3.509 66.693
γ_2 100 0 1.008 0.110 0.778 0.990 1.279
γ_3 100 0 1.004 0.107 0.793 0.991 1.428
θ 100 0 0.037 0.144 −0.300 0.038 0.415
sd_α_0 100 0 0.019 0.003 0.012 0.019 0.027
sd_α_1 100 0 1.626 0.262 1.117 1.585 2.476
sd_α_2 100 0 0.177 0.026 0.122 0.175 0.271
sd_α_3 100 0 0.006 0.001 0.004 0.006 0.008
sd_γ_0 100 0 0.161 0.036 0.087 0.155 0.262
sd_γ_1 100 0 5.213 1.456 2.479 4.986 9.882
sd_γ_2 100 0 0.006 0.001 0.005 0.006 0.008
sd_γ_3 100 0 0.006 0.001 0.004 0.006 0.009
sd_θ 100 0 0.016 0.004 0.008 0.015 0.026
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 1000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 1000.000 0.000 1000.000 1000.000 1000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.019 0.174 9.616 10.026 10.367
α_1 100 0 −0.831 10.322 −28.642 −1.953 26.857
α_2 100 0 20.251 1.177 16.694 20.211 23.084
α_3 100 0 1.006 0.041 0.912 1.012 1.103
γ_0 100 0 0.964 0.300 0.199 0.960 1.919
γ_1 100 0 −1.540 10.888 −31.544 −2.235 25.781
γ_2 100 0 1.008 0.043 0.883 1.004 1.144
γ_3 100 0 1.001 0.045 0.859 1.001 1.124
θ 100 0 0.065 0.064 −0.073 0.064 0.204
sd_α_0 100 0 0.004 0.000 0.003 0.004 0.005
sd_α_1 100 0 0.330 0.025 0.275 0.326 0.405
sd_α_2 100 0 0.036 0.002 0.030 0.036 0.042
sd_α_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_0 100 0 0.031 0.003 0.026 0.031 0.039
sd_γ_1 100 0 0.978 0.116 0.688 0.970 1.256
sd_γ_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_θ 100 0 0.003 0.000 0.002 0.003 0.004
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 2000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 2000.000 0.000 2000.000 2000.000 2000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.999 0.137 9.610 10.001 10.327
α_1 100 0 1.356 8.204 −15.540 0.259 21.595
α_2 100 0 19.974 0.969 18.050 19.986 22.431
α_3 100 0 1.004 0.032 0.889 1.004 1.073
γ_0 100 0 1.013 0.197 0.398 1.013 1.388
γ_1 100 0 1.539 7.142 −15.781 1.533 22.144
γ_2 100 0 1.000 0.031 0.932 0.999 1.092
γ_3 100 0 0.997 0.033 0.912 0.993 1.077
θ 100 0 0.045 0.041 −0.050 0.047 0.141
sd_α_0 100 0 0.002 0.000 0.002 0.002 0.002
sd_α_1 100 0 0.163 0.009 0.142 0.162 0.192
sd_α_2 100 0 0.018 0.001 0.015 0.018 0.020
sd_α_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_0 100 0 0.016 0.001 0.013 0.015 0.019
sd_γ_1 100 0 0.493 0.047 0.411 0.485 0.632
sd_γ_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_θ 100 0 0.002 0.000 0.001 0.002 0.002
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 5000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 5000.000 0.000 5000.000 5000.000 5000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.991 0.076 9.851 9.981 10.176
α_1 100 0 0.919 4.200 −9.902 0.690 14.379
α_2 100 0 19.977 0.462 18.729 20.022 21.168
α_3 100 0 1.000 0.017 0.952 1.000 1.040
γ_0 100 0 1.009 0.132 0.632 1.017 1.325
γ_1 100 0 1.182 4.781 −9.824 0.773 13.812
γ_2 100 0 1.000 0.021 0.946 0.998 1.061
γ_3 100 0 1.000 0.019 0.953 1.001 1.050
θ 100 0 0.048 0.027 −0.040 0.048 0.112
sd_α_0 100 0 0.001 0.000 0.001 0.001 0.001
sd_α_1 100 0 0.065 0.002 0.060 0.065 0.070
sd_α_2 100 0 0.007 0.000 0.006 0.007 0.007
sd_α_3 100 0 0.000 0.000 0.000 0.000 0.000
sd_γ_0 100 0 0.006 0.000 0.006 0.006 0.007
sd_γ_1 100 0 0.199 0.010 0.172 0.199 0.222
sd_γ_2 100 0 0.000 0.000 0.000 0.000 0.000
sd_γ_3 100 0 0.000 0.000 0.000 0.000 0.000
sd_θ 100 0 0.001 0.000 0.001 0.001 0.001
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000

\(\theta = 0.1\)

\(\alpha_2 = 0.1\)

\(n = 50\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 50.000 0.000 50.000 50.000 50.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.920 1.002 7.786 9.863 14.467
α_1 100 0 0.979 0.866 −0.802 0.867 3.118
α_2 100 0 0.097 0.084 −0.101 0.096 0.362
α_3 100 0 0.992 0.247 0.475 0.952 2.143
γ_0 100 0 0.696 1.897 −6.221 1.122 4.230
γ_1 100 0 1.022 391.596 −3423.339 1.104 1321.674
γ_2 100 0 1.029 0.259 0.404 0.976 1.805
γ_3 100 0 1.045 0.267 0.450 1.008 1.922
θ 100 0 4.649 257.800 −759.334 0.101 2335.140
sd_α_0 100 0 0.076 0.031 0.035 0.068 0.251
sd_α_1 100 0 0.111 0.034 0.051 0.105 0.224
sd_α_2 100 0 0.011 0.003 0.006 0.010 0.024
sd_α_3 100 0 0.024 0.008 0.012 0.023 0.075
sd_γ_0 100 0 0.761 0.310 0.215 0.686 2.096
sd_γ_1 100 0 40.340 230.018 0.117 0.641 2079.021
sd_γ_2 100 0 0.027 0.009 0.012 0.026 0.057
sd_γ_3 100 0 0.027 0.010 0.014 0.025 0.062
sd_θ 100 0 0.074 0.029 0.021 0.069 0.199
status 2 0 4.140 0.985 4.000 4.000 11.000
status_indicator 2 0 0.980 0.141 0.000 1.000 1.000
\(n = 100\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 100.000 0.000 100.000 100.000 100.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.981 0.789 8.536 9.913 14.417
α_1 100 0 0.982 0.705 −0.476 0.892 4.439
α_2 100 0 0.101 0.061 −0.055 0.101 0.364
α_3 100 0 0.998 0.182 0.695 0.974 2.045
γ_0 100 0 0.951 0.981 −3.125 0.974 3.052
γ_1 100 0 −50.632 500.139 −5000.032 1.066 14.994
γ_2 100 0 1.005 0.144 0.694 1.005 1.527
γ_3 100 0 1.008 0.161 0.585 0.980 1.368
θ 100 0 23.836 232.337 −6.486 0.170 2323.708
sd_α_0 100 0 0.039 0.012 0.023 0.036 0.112
sd_α_1 100 0 0.052 0.011 0.034 0.051 0.116
sd_α_2 100 0 0.005 0.001 0.003 0.005 0.010
sd_α_3 100 0 0.012 0.003 0.008 0.012 0.028
sd_γ_0 100 0 0.354 0.100 0.167 0.336 0.660
sd_γ_1 100 0 5.040 41.230 0.099 0.341 410.994
sd_γ_2 100 0 0.013 0.003 0.008 0.013 0.023
sd_γ_3 100 0 0.013 0.003 0.008 0.013 0.022
sd_θ 100 0 0.034 0.010 0.016 0.032 0.063
status 2 0 4.070 0.700 4.000 4.000 11.000
status_indicator 2 0 0.990 0.100 0.000 1.000 1.000
\(n = 200\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 200.000 0.000 200.000 200.000 200.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.017 0.514 8.751 9.988 11.461
α_1 100 0 1.064 0.383 0.235 1.066 1.977
α_2 100 0 0.094 0.040 0.005 0.091 0.220
α_3 100 0 1.007 0.101 0.823 0.997 1.310
γ_0 100 0 0.861 0.777 −1.152 0.850 2.406
γ_1 100 0 0.916 1.588 −10.603 1.041 5.889
γ_2 100 0 1.013 0.111 0.809 1.003 1.346
γ_3 100 0 1.023 0.114 0.790 1.024 1.432
θ 100 0 0.160 0.803 −2.355 0.113 5.796
sd_α_0 100 0 0.019 0.003 0.012 0.019 0.029
sd_α_1 100 0 0.026 0.004 0.018 0.025 0.038
sd_α_2 100 0 0.003 0.000 0.002 0.003 0.004
sd_α_3 100 0 0.006 0.001 0.005 0.006 0.008
sd_γ_0 100 0 0.179 0.036 0.102 0.177 0.299
sd_γ_1 100 0 0.266 0.340 0.084 0.186 2.795
sd_γ_2 100 0 0.007 0.001 0.005 0.006 0.009
sd_γ_3 100 0 0.006 0.001 0.005 0.006 0.009
sd_θ 100 0 0.017 0.004 0.009 0.017 0.029
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 1000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 1000.000 0.000 1000.000 1000.000 1000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.008 0.185 9.641 10.009 10.470
α_1 100 0 0.987 0.168 0.606 0.985 1.521
α_2 100 0 0.102 0.016 0.055 0.102 0.131
α_3 100 0 0.998 0.046 0.873 0.998 1.120
γ_0 100 0 0.991 0.326 0.062 1.004 1.792
γ_1 100 0 1.052 0.348 0.132 1.088 1.913
γ_2 100 0 0.999 0.044 0.899 0.999 1.099
γ_3 100 0 1.002 0.051 0.881 1.003 1.119
θ 100 0 0.076 0.187 −0.354 0.068 0.628
sd_α_0 100 0 0.004 0.000 0.003 0.004 0.005
sd_α_1 100 0 0.005 0.000 0.005 0.005 0.006
sd_α_2 100 0 0.001 0.000 0.000 0.001 0.001
sd_α_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_0 100 0 0.034 0.003 0.027 0.034 0.041
sd_γ_1 100 0 0.034 0.007 0.022 0.033 0.065
sd_γ_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_3 100 0 0.001 0.000 0.001 0.001 0.002
sd_θ 100 0 0.003 0.000 0.003 0.003 0.004
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 2000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 2000.000 0.000 2000.000 2000.000 2000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.998 0.150 9.650 10.002 10.424
α_1 100 0 0.987 0.123 0.569 0.993 1.312
α_2 100 0 0.101 0.012 0.072 0.101 0.125
α_3 100 0 1.001 0.036 0.910 1.001 1.110
γ_0 100 0 0.970 0.226 0.345 0.960 1.502
γ_1 100 0 0.992 0.252 0.176 1.006 1.554
γ_2 100 0 1.004 0.034 0.920 1.001 1.104
γ_3 100 0 1.004 0.032 0.922 1.008 1.082
θ 100 0 0.110 0.131 −0.196 0.093 0.498
sd_α_0 100 0 0.002 0.000 0.002 0.002 0.002
sd_α_1 100 0 0.003 0.000 0.002 0.003 0.003
sd_α_2 100 0 0.000 0.000 0.000 0.000 0.000
sd_α_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_0 100 0 0.017 0.001 0.015 0.017 0.020
sd_γ_1 100 0 0.017 0.002 0.012 0.017 0.024
sd_γ_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_θ 100 0 0.002 0.000 0.001 0.002 0.002
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 5000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 5000.000 0.000 5000.000 5000.000 5000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.007 0.082 9.812 10.004 10.206
α_1 100 0 0.989 0.081 0.798 0.978 1.193
α_2 100 0 0.102 0.008 0.084 0.101 0.120
α_3 100 0 1.002 0.020 0.962 1.003 1.054
γ_0 100 0 0.973 0.133 0.567 0.976 1.274
γ_1 100 0 1.015 0.138 0.556 1.023 1.456
γ_2 100 0 1.004 0.020 0.949 1.002 1.050
γ_3 100 0 1.002 0.019 0.948 1.003 1.051
θ 100 0 0.096 0.071 −0.098 0.095 0.329
sd_α_0 100 0 0.001 0.000 0.001 0.001 0.001
sd_α_1 100 0 0.001 0.000 0.001 0.001 0.001
sd_α_2 100 0 0.000 0.000 0.000 0.000 0.000
sd_α_3 100 0 0.000 0.000 0.000 0.000 0.000
sd_γ_0 100 0 0.007 0.000 0.006 0.007 0.007
sd_γ_1 100 0 0.007 0.001 0.005 0.007 0.009
sd_γ_2 100 0 0.000 0.000 0.000 0.000 0.000
sd_γ_3 100 0 0.000 0.000 0.000 0.000 0.000
sd_θ 100 0 0.001 0.000 0.001 0.001 0.001
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000

\(\alpha_2 = 0.5\)

\(n = 50\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 50.000 0.000 50.000 50.000 50.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.978 1.100 7.673 9.744 14.551
α_1 100 0 1.062 2.029 −3.604 1.104 9.409
α_2 100 0 0.491 0.221 0.001 0.470 1.043
α_3 100 0 0.979 0.220 0.433 0.949 1.703
γ_0 100 0 0.801 1.611 −3.806 1.089 4.233
γ_1 100 0 13.201 356.689 −1826.258 1.125 3045.778
γ_2 100 0 1.021 0.222 0.652 0.990 1.638
γ_3 100 0 1.023 0.223 0.481 0.998 1.602
θ 100 0 −1.825 72.894 −601.110 0.038 406.220
sd_α_0 100 0 0.082 0.034 0.040 0.074 0.267
sd_α_1 100 0 0.247 0.082 0.101 0.240 0.650
sd_α_2 100 0 0.026 0.007 0.012 0.024 0.050
sd_α_3 100 0 0.025 0.008 0.013 0.023 0.067
sd_γ_0 100 0 0.722 0.286 0.332 0.665 2.261
sd_γ_1 100 0 14.631 95.994 0.263 0.994 781.183
sd_γ_2 100 0 0.027 0.008 0.011 0.026 0.050
sd_γ_3 100 0 0.027 0.008 0.013 0.026 0.050
sd_θ 100 0 0.070 0.028 0.032 0.067 0.228
status 2 0 4.070 0.700 4.000 4.000 11.000
status_indicator 2 0 0.990 0.100 0.000 1.000 1.000
\(n = 100\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 100.000 0.000 100.000 100.000 100.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.938 0.726 8.691 9.844 12.232
α_1 100 0 1.088 1.283 −2.326 1.066 5.789
α_2 100 0 0.484 0.140 0.028 0.491 0.981
α_3 100 0 0.991 0.157 0.605 0.962 1.598
γ_0 100 0 1.110 0.972 −1.632 1.195 3.511
γ_1 100 0 0.516 4.430 −39.831 0.874 7.488
γ_2 100 0 0.976 0.154 0.636 0.955 1.475
γ_3 100 0 0.980 0.146 0.613 0.971 1.341
θ 100 0 0.191 0.917 −0.942 0.095 8.588
sd_α_0 100 0 0.039 0.011 0.023 0.037 0.082
sd_α_1 100 0 0.119 0.029 0.063 0.117 0.208
sd_α_2 100 0 0.012 0.003 0.007 0.012 0.020
sd_α_3 100 0 0.012 0.003 0.007 0.012 0.023
sd_γ_0 100 0 0.344 0.099 0.163 0.319 0.665
sd_γ_1 100 0 0.658 1.072 0.171 0.460 10.272
sd_γ_2 100 0 0.012 0.002 0.008 0.012 0.018
sd_γ_3 100 0 0.013 0.003 0.008 0.012 0.020
sd_θ 100 0 0.034 0.010 0.015 0.031 0.066
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 200\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 200.000 0.000 200.000 200.000 200.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.041 0.475 9.076 10.000 11.728
α_1 100 0 1.054 1.037 −1.468 0.926 3.057
α_2 100 0 0.500 0.112 0.204 0.497 0.780
α_3 100 0 1.010 0.110 0.765 1.016 1.246
γ_0 100 0 0.874 0.770 −1.888 0.993 2.677
γ_1 100 0 1.112 1.128 −1.090 1.063 4.240
γ_2 100 0 1.019 0.116 0.767 1.014 1.350
γ_3 100 0 0.993 0.102 0.770 0.980 1.389
θ 100 0 0.094 0.214 −0.393 0.088 0.615
sd_α_0 100 0 0.020 0.004 0.013 0.019 0.034
sd_α_1 100 0 0.061 0.010 0.046 0.060 0.095
sd_α_2 100 0 0.006 0.001 0.005 0.006 0.009
sd_α_3 100 0 0.006 0.001 0.004 0.006 0.008
sd_γ_0 100 0 0.166 0.036 0.108 0.161 0.346
sd_γ_1 100 0 0.244 0.083 0.130 0.227 0.607
sd_γ_2 100 0 0.006 0.001 0.004 0.006 0.009
sd_γ_3 100 0 0.006 0.001 0.004 0.006 0.010
sd_θ 100 0 0.016 0.004 0.010 0.016 0.034
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 1000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 1000.000 0.000 1000.000 1000.000 1000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.042 0.185 9.652 10.034 10.520
α_1 100 0 0.969 0.399 −0.250 0.997 2.022
α_2 100 0 0.509 0.044 0.410 0.505 0.621
α_3 100 0 1.014 0.047 0.912 1.011 1.141
γ_0 100 0 1.023 0.258 0.411 1.023 1.605
γ_1 100 0 0.937 0.426 −0.057 0.947 1.992
γ_2 100 0 0.996 0.041 0.920 0.992 1.102
γ_3 100 0 1.002 0.040 0.920 1.002 1.118
θ 100 0 0.108 0.074 −0.061 0.110 0.270
sd_α_0 100 0 0.004 0.000 0.003 0.004 0.004
sd_α_1 100 0 0.012 0.001 0.010 0.012 0.014
sd_α_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_α_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_0 100 0 0.032 0.003 0.026 0.032 0.038
sd_γ_1 100 0 0.044 0.005 0.032 0.044 0.057
sd_γ_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_θ 100 0 0.003 0.000 0.003 0.003 0.004
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 2000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 2000.000 0.000 2000.000 2000.000 2000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.972 0.131 9.681 9.966 10.273
α_1 100 0 0.966 0.276 −0.048 0.946 1.588
α_2 100 0 0.500 0.029 0.443 0.499 0.601
α_3 100 0 0.997 0.031 0.923 0.993 1.096
γ_0 100 0 1.012 0.207 0.396 1.033 1.514
γ_1 100 0 0.965 0.351 0.208 0.947 1.764
γ_2 100 0 0.999 0.028 0.933 0.997 1.081
γ_3 100 0 1.000 0.030 0.938 0.997 1.084
θ 100 0 0.105 0.062 −0.028 0.097 0.262
sd_α_0 100 0 0.002 0.000 0.002 0.002 0.002
sd_α_1 100 0 0.006 0.000 0.005 0.006 0.007
sd_α_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_α_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_0 100 0 0.016 0.001 0.014 0.016 0.019
sd_γ_1 100 0 0.022 0.002 0.018 0.022 0.029
sd_γ_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_θ 100 0 0.002 0.000 0.001 0.002 0.002
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 5000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 5000.000 0.000 5000.000 5000.000 5000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.005 0.087 9.848 9.996 10.264
α_1 100 0 1.028 0.182 0.705 1.010 1.504
α_2 100 0 0.498 0.019 0.447 0.501 0.534
α_3 100 0 0.999 0.019 0.961 0.995 1.057
γ_0 100 0 1.031 0.122 0.698 1.035 1.301
γ_1 100 0 0.997 0.223 0.501 0.996 1.425
γ_2 100 0 0.996 0.019 0.956 0.998 1.055
γ_3 100 0 0.998 0.019 0.952 0.998 1.047
θ 100 0 0.097 0.039 0.024 0.100 0.191
sd_α_0 100 0 0.001 0.000 0.001 0.001 0.001
sd_α_1 100 0 0.002 0.000 0.002 0.002 0.003
sd_α_2 100 0 0.000 0.000 0.000 0.000 0.000
sd_α_3 100 0 0.000 0.000 0.000 0.000 0.000
sd_γ_0 100 0 0.006 0.000 0.006 0.006 0.007
sd_γ_1 100 0 0.009 0.000 0.008 0.009 0.010
sd_γ_2 100 0 0.000 0.000 0.000 0.000 0.000
sd_γ_3 100 0 0.000 0.000 0.000 0.000 0.000
sd_θ 100 0 0.001 0.000 0.001 0.001 0.001
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000

\(\alpha_2 = 1.0\)

\(n = 50\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 50.000 0.000 50.000 50.000 50.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.038 0.939 8.563 9.859 13.464
α_1 100 0 1.139 3.316 −7.905 0.999 9.244
α_2 100 0 0.998 0.364 0.259 0.969 1.958
α_3 100 0 1.000 0.203 0.591 0.988 1.603
γ_0 100 0 0.376 2.091 −14.550 0.795 3.760
γ_1 100 0 1.860 5.439 −14.769 2.191 24.736
γ_2 100 0 1.071 0.292 0.610 1.017 2.916
γ_3 100 0 1.070 0.310 0.377 1.040 3.055
θ 100 0 0.137 0.584 −1.691 0.056 2.587
sd_α_0 100 0 0.080 0.029 0.044 0.073 0.195
sd_α_1 100 0 0.438 0.140 0.164 0.423 0.972
sd_α_2 100 0 0.046 0.014 0.019 0.044 0.098
sd_α_3 100 0 0.024 0.006 0.013 0.024 0.046
sd_γ_0 100 0 0.789 0.364 0.297 0.714 2.437
sd_γ_1 100 0 2.011 1.335 0.498 1.697 7.829
sd_γ_2 100 0 0.028 0.010 0.016 0.025 0.089
sd_γ_3 100 0 0.028 0.012 0.014 0.027 0.108
sd_θ 100 0 0.076 0.035 0.026 0.069 0.226
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 100\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 100.000 0.000 100.000 100.000 100.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.998 0.699 8.589 10.008 12.681
α_1 100 0 0.966 2.437 −7.025 0.897 6.588
α_2 100 0 1.004 0.283 0.358 1.009 1.796
α_3 100 0 0.992 0.162 0.666 0.982 1.479
γ_0 100 0 0.748 0.990 −1.939 0.766 3.205
γ_1 100 0 0.915 3.725 −13.519 1.156 11.311
γ_2 100 0 1.033 0.153 0.603 1.022 1.462
γ_3 100 0 1.025 0.130 0.778 1.029 1.371
θ 100 0 0.145 0.384 −0.731 0.104 1.793
sd_α_0 100 0 0.039 0.011 0.020 0.037 0.088
sd_α_1 100 0 0.204 0.043 0.139 0.196 0.330
sd_α_2 100 0 0.022 0.004 0.014 0.021 0.035
sd_α_3 100 0 0.012 0.003 0.008 0.012 0.021
sd_γ_0 100 0 0.353 0.088 0.182 0.343 0.572
sd_γ_1 100 0 0.835 0.375 0.241 0.754 2.457
sd_γ_2 100 0 0.013 0.003 0.009 0.013 0.022
sd_γ_3 100 0 0.013 0.003 0.008 0.013 0.020
sd_θ 100 0 0.034 0.009 0.018 0.033 0.056
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 200\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 200.000 0.000 200.000 200.000 200.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.052 0.470 9.294 9.975 11.816
α_1 100 0 0.985 1.597 −3.600 1.158 5.063
α_2 100 0 1.013 0.187 0.547 0.993 1.675
α_3 100 0 1.009 0.109 0.786 1.004 1.354
γ_0 100 0 0.961 0.587 −1.124 0.952 2.288
γ_1 100 0 0.993 1.830 −3.805 0.966 5.987
γ_2 100 0 1.006 0.091 0.814 0.997 1.297
γ_3 100 0 1.002 0.093 0.788 1.008 1.356
θ 100 0 0.102 0.176 −0.346 0.109 0.671
sd_α_0 100 0 0.019 0.004 0.013 0.019 0.044
sd_α_1 100 0 0.104 0.016 0.061 0.102 0.155
sd_α_2 100 0 0.011 0.002 0.007 0.011 0.017
sd_α_3 100 0 0.006 0.001 0.005 0.006 0.009
sd_γ_0 100 0 0.169 0.034 0.099 0.163 0.268
sd_γ_1 100 0 0.376 0.102 0.192 0.372 0.712
sd_γ_2 100 0 0.006 0.001 0.005 0.006 0.009
sd_γ_3 100 0 0.006 0.001 0.005 0.006 0.009
sd_θ 100 0 0.016 0.003 0.010 0.016 0.025
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 1000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 1000.000 0.000 1000.000 1000.000 1000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.016 0.198 9.512 9.995 10.631
α_1 100 0 1.035 0.685 −1.053 1.009 3.025
α_2 100 0 0.999 0.082 0.797 1.003 1.248
α_3 100 0 0.997 0.049 0.896 0.992 1.156
γ_0 100 0 0.962 0.344 0.164 0.957 1.892
γ_1 100 0 1.096 0.806 −0.830 1.103 2.837
γ_2 100 0 1.004 0.050 0.886 1.007 1.116
γ_3 100 0 0.997 0.048 0.864 0.997 1.141
θ 100 0 0.097 0.084 −0.096 0.100 0.272
sd_α_0 100 0 0.004 0.000 0.003 0.004 0.005
sd_α_1 100 0 0.021 0.001 0.018 0.021 0.024
sd_α_2 100 0 0.002 0.000 0.002 0.002 0.003
sd_α_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_0 100 0 0.033 0.003 0.027 0.033 0.041
sd_γ_1 100 0 0.071 0.008 0.054 0.072 0.093
sd_γ_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_θ 100 0 0.003 0.000 0.003 0.003 0.004
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 2000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 2000.000 0.000 2000.000 2000.000 2000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.994 0.127 9.689 9.981 10.334
α_1 100 0 1.076 0.462 0.143 1.053 2.293
α_2 100 0 0.991 0.046 0.883 0.987 1.095
α_3 100 0 1.002 0.031 0.902 1.001 1.075
γ_0 100 0 1.013 0.208 0.495 1.007 1.482
γ_1 100 0 0.957 0.511 −0.863 0.995 2.257
γ_2 100 0 1.000 0.029 0.922 1.001 1.081
γ_3 100 0 0.996 0.033 0.923 0.996 1.069
θ 100 0 0.101 0.052 −0.046 0.094 0.284
sd_α_0 100 0 0.002 0.000 0.002 0.002 0.002
sd_α_1 100 0 0.010 0.001 0.009 0.010 0.011
sd_α_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_α_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_0 100 0 0.016 0.001 0.014 0.016 0.019
sd_γ_1 100 0 0.035 0.003 0.028 0.035 0.045
sd_γ_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_θ 100 0 0.002 0.000 0.001 0.002 0.002
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 5000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 5000.000 0.000 5000.000 5000.000 5000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.002 0.094 9.754 10.008 10.219
α_1 100 0 0.994 0.269 0.298 0.992 1.531
α_2 100 0 1.001 0.032 0.908 0.999 1.076
α_3 100 0 1.000 0.021 0.955 0.997 1.054
γ_0 100 0 1.011 0.116 0.727 1.013 1.305
γ_1 100 0 1.011 0.271 0.430 1.011 1.535
γ_2 100 0 0.998 0.019 0.951 0.998 1.039
γ_3 100 0 0.996 0.020 0.949 1.000 1.039
θ 100 0 0.098 0.028 0.036 0.099 0.158
sd_α_0 100 0 0.001 0.000 0.001 0.001 0.001
sd_α_1 100 0 0.004 0.000 0.004 0.004 0.004
sd_α_2 100 0 0.000 0.000 0.000 0.000 0.000
sd_α_3 100 0 0.000 0.000 0.000 0.000 0.000
sd_γ_0 100 0 0.006 0.000 0.006 0.006 0.007
sd_γ_1 100 0 0.014 0.001 0.012 0.014 0.016
sd_γ_2 100 0 0.000 0.000 0.000 0.000 0.000
sd_γ_3 100 0 0.000 0.000 0.000 0.000 0.000
sd_θ 100 0 0.001 0.000 0.001 0.001 0.001
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000

\(\alpha_2 = 5.0\)

\(n = 50\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 50.000 0.000 50.000 50.000 50.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.972 0.721 8.034 9.826 12.227
α_1 100 0 0.732 12.626 −30.189 1.279 31.383
α_2 100 0 5.012 1.345 2.416 4.866 8.509
α_3 100 0 1.007 0.213 0.575 0.995 1.646
γ_0 100 0 0.651 2.007 −7.080 1.176 3.719
γ_1 100 0 0.163 15.866 −44.945 0.729 35.737
γ_2 100 0 1.039 0.290 0.616 0.990 2.241
γ_3 100 0 1.038 0.251 0.606 1.001 1.983
θ 100 0 0.150 0.404 −0.480 0.078 1.966
sd_α_0 100 0 0.079 0.025 0.038 0.073 0.158
sd_α_1 100 0 1.859 0.487 0.941 1.785 3.550
sd_α_2 100 0 0.203 0.055 0.091 0.194 0.377
sd_α_3 100 0 0.025 0.007 0.015 0.023 0.051
sd_γ_0 100 0 0.705 0.279 0.314 0.653 2.011
sd_γ_1 100 0 6.530 3.680 2.292 5.856 29.750
sd_γ_2 100 0 0.028 0.011 0.015 0.024 0.078
sd_γ_3 100 0 0.027 0.009 0.013 0.025 0.068
sd_θ 100 0 0.069 0.026 0.028 0.064 0.207
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 100\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 100.000 0.000 100.000 100.000 100.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.938 0.567 8.736 9.990 11.303
α_1 100 0 1.609 10.753 −29.624 1.950 38.203
α_2 100 0 4.877 1.207 1.285 4.847 9.029
α_3 100 0 1.003 0.133 0.770 0.995 1.363
γ_0 100 0 0.889 0.935 −2.240 0.995 3.073
γ_1 100 0 −0.993 11.173 −57.032 −0.681 25.385
γ_2 100 0 1.017 0.137 0.690 0.991 1.433
γ_3 100 0 1.031 0.155 0.659 1.015 1.486
θ 100 0 0.154 0.248 −0.318 0.129 1.411
sd_α_0 100 0 0.038 0.009 0.020 0.036 0.064
sd_α_1 100 0 0.913 0.213 0.534 0.876 1.657
sd_α_2 100 0 0.098 0.022 0.057 0.097 0.164
sd_α_3 100 0 0.012 0.003 0.008 0.012 0.020
sd_γ_0 100 0 0.321 0.077 0.183 0.314 0.569
sd_γ_1 100 0 3.091 1.648 1.310 2.751 12.803
sd_γ_2 100 0 0.013 0.003 0.008 0.013 0.022
sd_γ_3 100 0 0.013 0.003 0.008 0.013 0.021
sd_θ 100 0 0.031 0.008 0.018 0.030 0.054
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 200\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 200.000 0.000 200.000 200.000 200.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.030 0.447 8.912 9.959 11.050
α_1 100 0 0.800 6.976 −16.810 0.746 18.238
α_2 100 0 5.048 0.844 3.433 5.046 7.572
α_3 100 0 1.011 0.106 0.760 1.009 1.282
γ_0 100 0 0.899 0.652 −0.767 0.956 2.249
γ_1 100 0 1.289 7.650 −19.914 1.022 22.499
γ_2 100 0 1.015 0.102 0.838 0.999 1.327
γ_3 100 0 1.016 0.101 0.780 1.010 1.279
θ 100 0 0.107 0.165 −0.308 0.107 0.583
sd_α_0 100 0 0.019 0.003 0.014 0.019 0.030
sd_α_1 100 0 0.441 0.074 0.290 0.435 0.662
sd_α_2 100 0 0.048 0.008 0.033 0.047 0.072
sd_α_3 100 0 0.006 0.001 0.004 0.006 0.008
sd_γ_0 100 0 0.161 0.034 0.098 0.161 0.271
sd_γ_1 100 0 1.420 0.400 0.737 1.353 2.496
sd_γ_2 100 0 0.006 0.001 0.005 0.006 0.010
sd_γ_3 100 0 0.006 0.001 0.004 0.006 0.009
sd_θ 100 0 0.016 0.003 0.010 0.015 0.026
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 1000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 1000.000 0.000 1000.000 1000.000 1000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.000 0.183 9.653 9.977 10.385
α_1 100 0 1.291 2.956 −5.136 1.479 7.205
α_2 100 0 4.973 0.360 4.186 4.986 5.969
α_3 100 0 1.008 0.041 0.921 1.010 1.142
γ_0 100 0 0.934 0.307 0.133 0.930 1.603
γ_1 100 0 1.040 2.853 −6.274 0.913 6.886
γ_2 100 0 1.008 0.047 0.881 1.004 1.116
γ_3 100 0 1.008 0.041 0.923 1.013 1.109
θ 100 0 0.107 0.067 −0.067 0.112 0.262
sd_α_0 100 0 0.004 0.000 0.003 0.004 0.005
sd_α_1 100 0 0.088 0.006 0.071 0.088 0.104
sd_α_2 100 0 0.009 0.001 0.008 0.009 0.011
sd_α_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_0 100 0 0.032 0.003 0.025 0.032 0.041
sd_γ_1 100 0 0.276 0.037 0.202 0.270 0.378
sd_γ_2 100 0 0.001 0.000 0.001 0.001 0.002
sd_γ_3 100 0 0.001 0.000 0.001 0.001 0.002
sd_θ 100 0 0.003 0.000 0.003 0.003 0.004
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 2000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 2000.000 0.000 2000.000 2000.000 2000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.985 0.133 9.706 9.966 10.504
α_1 100 0 0.858 2.075 −4.874 0.888 6.281
α_2 100 0 4.998 0.252 4.389 4.956 5.689
α_3 100 0 0.998 0.028 0.949 0.999 1.086
γ_0 100 0 1.003 0.210 0.418 0.995 1.624
γ_1 100 0 0.824 2.211 −4.046 0.849 6.384
γ_2 100 0 0.999 0.030 0.925 1.001 1.076
γ_3 100 0 1.003 0.038 0.910 1.004 1.096
θ 100 0 0.104 0.054 −0.024 0.105 0.218
sd_α_0 100 0 0.002 0.000 0.002 0.002 0.002
sd_α_1 100 0 0.044 0.002 0.040 0.043 0.051
sd_α_2 100 0 0.005 0.000 0.004 0.005 0.006
sd_α_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_0 100 0 0.016 0.001 0.014 0.016 0.019
sd_γ_1 100 0 0.136 0.011 0.112 0.135 0.176
sd_γ_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_θ 100 0 0.002 0.000 0.001 0.002 0.002
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 5000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 5000.000 0.000 5000.000 5000.000 5000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.999 0.086 9.818 9.988 10.300
α_1 100 0 0.973 1.200 −1.703 0.997 3.804
α_2 100 0 5.003 0.145 4.683 5.007 5.338
α_3 100 0 1.001 0.020 0.954 0.999 1.047
γ_0 100 0 1.013 0.133 0.754 1.013 1.305
γ_1 100 0 1.150 1.308 −1.514 1.238 4.211
γ_2 100 0 0.999 0.020 0.956 0.996 1.046
γ_3 100 0 0.997 0.018 0.947 0.996 1.046
θ 100 0 0.095 0.029 0.030 0.098 0.161
sd_α_0 100 0 0.001 0.000 0.001 0.001 0.001
sd_α_1 100 0 0.018 0.001 0.016 0.017 0.019
sd_α_2 100 0 0.002 0.000 0.002 0.002 0.002
sd_α_3 100 0 0.000 0.000 0.000 0.000 0.000
sd_γ_0 100 0 0.006 0.000 0.006 0.006 0.007
sd_γ_1 100 0 0.054 0.003 0.046 0.054 0.065
sd_γ_2 100 0 0.000 0.000 0.000 0.000 0.000
sd_γ_3 100 0 0.000 0.000 0.000 0.000 0.000
sd_θ 100 0 0.001 0.000 0.001 0.001 0.001
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000

\(\alpha_2 = 20.0\)

\(n = 50\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 50.000 0.000 50.000 50.000 50.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.009 0.849 8.005 9.985 12.852
α_1 100 0 −1.267 57.510 −166.001 −4.268 177.023
α_2 100 0 20.214 6.932 −0.006 19.854 41.702
α_3 100 0 0.983 0.197 0.505 0.978 1.448
γ_0 100 0 0.537 2.043 −8.719 0.972 3.459
γ_1 100 0 1531.805 15414.038 −177.492 −0.940 154129.353
γ_2 100 0 1.057 0.237 0.517 1.042 1.888
γ_3 100 0 1.070 0.303 0.590 1.021 2.912
θ 100 0 −8.483 87.122 −870.971 0.126 3.207
sd_α_0 100 0 0.079 0.023 0.034 0.077 0.160
sd_α_1 100 0 7.182 2.075 2.932 6.887 13.779
sd_α_2 100 0 0.782 0.211 0.397 0.740 1.521
sd_α_3 100 0 0.025 0.007 0.013 0.024 0.048
sd_γ_0 100 0 0.705 0.318 0.235 0.627 2.282
sd_γ_1 100 0 756.469 7315.008 9.207 20.900 73174.924
sd_γ_2 100 0 0.028 0.010 0.015 0.025 0.073
sd_γ_3 100 0 0.028 0.012 0.013 0.026 0.093
sd_θ 100 0 0.069 0.031 0.025 0.063 0.226
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 100\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 100.000 0.000 100.000 100.000 100.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.136 0.644 8.713 10.140 11.647
α_1 100 0 −0.463 41.128 −102.521 0.213 130.324
α_2 100 0 20.640 4.822 8.791 20.220 31.189
α_3 100 0 1.009 0.145 0.699 1.004 1.313
γ_0 100 0 0.813 1.015 −2.678 0.853 2.763
γ_1 100 0 4.002 41.292 −96.371 7.400 91.148
γ_2 100 0 1.025 0.163 0.713 1.016 1.521
γ_3 100 0 1.011 0.142 0.715 1.001 1.375
θ 100 0 0.098 0.220 −0.341 0.084 0.571
sd_α_0 100 0 0.041 0.010 0.021 0.040 0.076
sd_α_1 100 0 3.644 0.765 2.193 3.619 6.391
sd_α_2 100 0 0.396 0.087 0.256 0.384 0.660
sd_α_3 100 0 0.012 0.003 0.008 0.012 0.022
sd_γ_0 100 0 0.334 0.085 0.152 0.326 0.771
sd_γ_1 100 0 11.552 4.536 5.353 10.670 35.266
sd_γ_2 100 0 0.013 0.003 0.008 0.012 0.027
sd_γ_3 100 0 0.013 0.003 0.008 0.013 0.026
sd_θ 100 0 0.032 0.008 0.014 0.031 0.072
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 200\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 200.000 0.000 200.000 200.000 200.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.963 0.437 9.013 9.902 11.204
α_1 100 0 −3.256 26.239 −73.104 −0.447 61.611
α_2 100 0 20.285 3.231 13.759 20.306 30.019
α_3 100 0 0.998 0.111 0.765 0.996 1.329
γ_0 100 0 0.929 0.673 −0.988 0.894 2.180
γ_1 100 0 0.661 24.494 −77.505 −0.298 98.402
γ_2 100 0 1.009 0.098 0.736 1.014 1.221
γ_3 100 0 1.016 0.103 0.789 1.010 1.261
θ 100 0 0.113 0.146 −0.378 0.121 0.502
sd_α_0 100 0 0.019 0.003 0.012 0.019 0.028
sd_α_1 100 0 1.694 0.253 1.061 1.669 2.316
sd_α_2 100 0 0.185 0.028 0.116 0.182 0.250
sd_α_3 100 0 0.006 0.001 0.004 0.006 0.008
sd_γ_0 100 0 0.156 0.028 0.104 0.151 0.252
sd_γ_1 100 0 5.211 1.398 2.120 5.025 10.116
sd_γ_2 100 0 0.006 0.001 0.005 0.006 0.008
sd_γ_3 100 0 0.006 0.001 0.005 0.006 0.008
sd_θ 100 0 0.015 0.003 0.009 0.015 0.025
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 1000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 1000.000 0.000 1000.000 1000.000 1000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.995 0.207 9.460 10.015 10.476
α_1 100 0 0.251 10.456 −23.319 2.315 21.523
α_2 100 0 20.076 1.288 16.737 19.948 23.231
α_3 100 0 0.999 0.049 0.851 0.997 1.119
γ_0 100 0 0.926 0.347 0.042 0.883 1.556
γ_1 100 0 1.692 10.652 −19.769 1.393 33.092
γ_2 100 0 1.011 0.049 0.918 1.004 1.140
γ_3 100 0 1.013 0.043 0.903 1.013 1.136
θ 100 0 0.104 0.063 −0.039 0.113 0.223
sd_α_0 100 0 0.004 0.000 0.003 0.004 0.005
sd_α_1 100 0 0.343 0.029 0.285 0.340 0.433
sd_α_2 100 0 0.037 0.003 0.030 0.037 0.047
sd_α_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_0 100 0 0.031 0.003 0.026 0.031 0.041
sd_γ_1 100 0 1.040 0.117 0.748 1.038 1.333
sd_γ_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_θ 100 0 0.003 0.000 0.002 0.003 0.004
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 2000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 2000.000 0.000 2000.000 2000.000 2000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.992 0.142 9.640 9.988 10.326
α_1 100 0 0.453 8.219 −19.675 0.204 15.929
α_2 100 0 20.017 0.956 17.485 20.057 22.606
α_3 100 0 0.995 0.034 0.903 0.992 1.085
γ_0 100 0 1.018 0.211 0.483 1.011 1.452
γ_1 100 0 1.081 8.878 −18.857 −0.398 24.715
γ_2 100 0 0.993 0.029 0.923 0.995 1.076
γ_3 100 0 1.002 0.031 0.938 1.002 1.084
θ 100 0 0.101 0.051 −0.045 0.098 0.224
sd_α_0 100 0 0.002 0.000 0.002 0.002 0.002
sd_α_1 100 0 0.170 0.010 0.153 0.168 0.202
sd_α_2 100 0 0.018 0.001 0.017 0.018 0.022
sd_α_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_0 100 0 0.016 0.001 0.013 0.016 0.019
sd_γ_1 100 0 0.524 0.056 0.393 0.513 0.670
sd_γ_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_θ 100 0 0.002 0.000 0.001 0.002 0.002
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 5000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 5000.000 0.000 5000.000 5000.000 5000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.003 0.091 9.785 9.992 10.190
α_1 100 0 0.643 4.690 −10.223 0.769 11.030
α_2 100 0 20.054 0.586 18.926 20.051 21.517
α_3 100 0 1.001 0.020 0.945 1.003 1.045
γ_0 100 0 1.022 0.147 0.684 1.017 1.368
γ_1 100 0 2.030 4.785 −9.281 1.683 19.605
γ_2 100 0 0.996 0.022 0.954 0.997 1.055
γ_3 100 0 0.999 0.021 0.952 0.998 1.058
θ 100 0 0.093 0.030 0.004 0.097 0.158
sd_α_0 100 0 0.001 0.000 0.001 0.001 0.001
sd_α_1 100 0 0.068 0.002 0.064 0.068 0.073
sd_α_2 100 0 0.007 0.000 0.007 0.007 0.008
sd_α_3 100 0 0.000 0.000 0.000 0.000 0.000
sd_γ_0 100 0 0.006 0.000 0.006 0.006 0.007
sd_γ_1 100 0 0.206 0.011 0.181 0.206 0.234
sd_γ_2 100 0 0.000 0.000 0.000 0.000 0.000
sd_γ_3 100 0 0.000 0.000 0.000 0.000 0.000
sd_θ 100 0 0.001 0.000 0.001 0.001 0.001
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000

\(\theta = 0.2\)

\(\alpha_2 = 0.1\)

\(n = 50\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 50.000 0.000 50.000 50.000 50.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.078 1.006 7.461 10.061 13.437
α_1 100 0 1.085 0.871 −0.569 0.987 5.993
α_2 100 0 0.095 0.087 −0.270 0.097 0.283
α_3 100 0 1.005 0.238 0.594 0.981 1.694
γ_0 100 0 0.548 1.504 −4.717 0.941 3.049
γ_1 100 0 −44.030 419.655 −2577.725 0.501 2253.210
γ_2 100 0 1.045 0.217 0.601 1.008 1.542
γ_3 100 0 1.037 0.220 0.567 0.996 1.582
θ 100 0 51.003 398.561 −1589.749 0.382 2943.781
sd_α_0 100 0 0.082 0.029 0.041 0.077 0.181
sd_α_1 100 0 0.111 0.032 0.058 0.105 0.209
sd_α_2 100 0 0.011 0.003 0.006 0.010 0.022
sd_α_3 100 0 0.025 0.007 0.014 0.023 0.059
sd_γ_0 100 0 0.800 0.248 0.229 0.803 1.557
sd_γ_1 100 0 47.900 232.036 0.125 0.757 1787.375
sd_γ_2 100 0 0.027 0.007 0.014 0.025 0.045
sd_γ_3 100 0 0.028 0.008 0.015 0.027 0.051
sd_θ 100 0 0.078 0.025 0.025 0.078 0.149
status 2 0 4.350 1.533 4.000 4.000 11.000
status_indicator 2 0 0.950 0.219 0.000 1.000 1.000
\(n = 100\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 100.000 0.000 100.000 100.000 100.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.927 0.661 8.653 9.872 11.727
α_1 100 0 0.792 0.632 −0.550 0.785 2.855
α_2 100 0 0.117 0.064 −0.036 0.113 0.357
α_3 100 0 1.000 0.145 0.676 0.988 1.460
γ_0 100 0 0.863 0.947 −1.332 1.010 2.758
γ_1 100 0 −20.157 209.347 −2092.620 0.977 5.166
γ_2 100 0 1.017 0.143 0.765 1.001 1.382
γ_3 100 0 1.030 0.141 0.629 1.032 1.427
θ 100 0 11.635 113.023 −2.005 0.237 1130.525
sd_α_0 100 0 0.039 0.008 0.023 0.038 0.063
sd_α_1 100 0 0.055 0.012 0.029 0.052 0.104
sd_α_2 100 0 0.006 0.001 0.003 0.005 0.010
sd_α_3 100 0 0.012 0.002 0.008 0.012 0.019
sd_γ_0 100 0 0.332 0.084 0.188 0.316 0.613
sd_γ_1 100 0 3.852 34.515 0.117 0.290 345.526
sd_γ_2 100 0 0.013 0.002 0.009 0.013 0.020
sd_γ_3 100 0 0.013 0.002 0.008 0.013 0.019
sd_θ 100 0 0.032 0.008 0.018 0.031 0.064
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 200\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 200.000 0.000 200.000 200.000 200.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.959 0.434 8.882 9.918 11.708
α_1 100 0 0.941 0.458 −0.074 0.949 2.347
α_2 100 0 0.104 0.043 −0.022 0.102 0.237
α_3 100 0 1.001 0.102 0.755 0.998 1.358
γ_0 100 0 0.948 0.712 −1.078 0.975 2.415
γ_1 100 0 0.951 1.194 −2.037 1.051 7.303
γ_2 100 0 1.005 0.112 0.712 1.001 1.284
γ_3 100 0 1.007 0.102 0.747 1.012 1.239
θ 100 0 0.256 0.636 −2.813 0.175 2.333
sd_α_0 100 0 0.019 0.003 0.012 0.018 0.030
sd_α_1 100 0 0.029 0.005 0.019 0.028 0.048
sd_α_2 100 0 0.003 0.000 0.002 0.003 0.004
sd_α_3 100 0 0.006 0.001 0.004 0.006 0.008
sd_γ_0 100 0 0.175 0.029 0.125 0.174 0.269
sd_γ_1 100 0 0.224 0.232 0.074 0.176 2.204
sd_γ_2 100 0 0.006 0.001 0.005 0.006 0.009
sd_γ_3 100 0 0.006 0.001 0.005 0.006 0.009
sd_θ 100 0 0.017 0.003 0.012 0.017 0.027
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 1000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 1000.000 0.000 1000.000 1000.000 1000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.031 0.176 9.642 10.023 10.461
α_1 100 0 1.010 0.190 0.643 1.021 1.701
α_2 100 0 0.101 0.019 0.043 0.098 0.152
α_3 100 0 1.008 0.037 0.932 1.008 1.111
γ_0 100 0 1.029 0.337 0.179 1.029 2.079
γ_1 100 0 1.003 0.370 −0.138 1.008 1.761
γ_2 100 0 0.993 0.051 0.846 0.990 1.116
γ_3 100 0 0.995 0.046 0.880 0.995 1.112
θ 100 0 0.196 0.191 −0.243 0.175 0.747
sd_α_0 100 0 0.004 0.000 0.003 0.004 0.005
sd_α_1 100 0 0.006 0.000 0.005 0.006 0.006
sd_α_2 100 0 0.001 0.000 0.000 0.001 0.001
sd_α_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_0 100 0 0.034 0.003 0.029 0.034 0.045
sd_γ_1 100 0 0.037 0.010 0.024 0.036 0.101
sd_γ_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_θ 100 0 0.003 0.000 0.003 0.003 0.004
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 2000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 2000.000 0.000 2000.000 2000.000 2000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.008 0.132 9.671 10.024 10.394
α_1 100 0 1.011 0.132 0.646 1.015 1.329
α_2 100 0 0.099 0.012 0.069 0.098 0.137
α_3 100 0 0.999 0.030 0.918 1.001 1.077
γ_0 100 0 0.952 0.212 0.394 0.966 1.475
γ_1 100 0 0.962 0.256 0.461 0.970 1.765
γ_2 100 0 1.005 0.030 0.929 1.004 1.069
γ_3 100 0 1.005 0.031 0.925 1.003 1.075
θ 100 0 0.229 0.137 −0.166 0.216 0.521
sd_α_0 100 0 0.002 0.000 0.002 0.002 0.002
sd_α_1 100 0 0.003 0.000 0.003 0.003 0.003
sd_α_2 100 0 0.000 0.000 0.000 0.000 0.000
sd_α_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_0 100 0 0.017 0.001 0.014 0.017 0.021
sd_γ_1 100 0 0.018 0.003 0.012 0.018 0.029
sd_γ_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_θ 100 0 0.002 0.000 0.001 0.002 0.002
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 5000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 5000.000 0.000 5000.000 5000.000 5000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.995 0.092 9.780 10.005 10.230
α_1 100 0 0.988 0.087 0.790 0.990 1.212
α_2 100 0 0.101 0.008 0.081 0.101 0.120
α_3 100 0 0.999 0.021 0.942 0.998 1.052
γ_0 100 0 0.989 0.114 0.707 0.989 1.246
γ_1 100 0 0.998 0.155 0.653 0.994 1.375
γ_2 100 0 1.003 0.018 0.962 1.002 1.048
γ_3 100 0 1.001 0.017 0.958 1.000 1.043
θ 100 0 0.203 0.074 0.025 0.200 0.394
sd_α_0 100 0 0.001 0.000 0.001 0.001 0.001
sd_α_1 100 0 0.001 0.000 0.001 0.001 0.001
sd_α_2 100 0 0.000 0.000 0.000 0.000 0.000
sd_α_3 100 0 0.000 0.000 0.000 0.000 0.000
sd_γ_0 100 0 0.007 0.000 0.006 0.007 0.008
sd_γ_1 100 0 0.007 0.001 0.006 0.007 0.009
sd_γ_2 100 0 0.000 0.000 0.000 0.000 0.000
sd_γ_3 100 0 0.000 0.000 0.000 0.000 0.000
sd_θ 100 0 0.001 0.000 0.001 0.001 0.001
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000

\(\alpha_2 = 0.5\)

\(n = 50\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 50.000 0.000 50.000 50.000 50.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.931 0.852 7.610 9.913 12.363
α_1 100 0 0.945 2.071 −5.565 0.842 6.752
α_2 100 0 0.494 0.218 −0.055 0.491 1.175
α_3 100 0 0.991 0.212 0.508 0.965 1.470
γ_0 100 0 0.902 1.615 −6.741 1.067 4.386
γ_1 100 0 0.035 4.734 −35.358 0.795 6.217
γ_2 100 0 0.995 0.212 0.588 0.980 1.714
γ_3 100 0 0.989 0.210 0.510 0.993 1.529
θ 100 0 0.415 0.873 −0.539 0.234 5.647
sd_α_0 100 0 0.079 0.026 0.030 0.073 0.163
sd_α_1 100 0 0.271 0.089 0.095 0.262 0.666
sd_α_2 100 0 0.028 0.008 0.015 0.027 0.061
sd_α_3 100 0 0.025 0.007 0.011 0.023 0.045
sd_γ_0 100 0 0.665 0.309 0.230 0.624 2.476
sd_γ_1 100 0 1.352 1.990 0.235 0.979 19.043
sd_γ_2 100 0 0.025 0.008 0.010 0.025 0.052
sd_γ_3 100 0 0.026 0.007 0.013 0.025 0.046
sd_θ 100 0 0.065 0.030 0.023 0.058 0.245
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 100\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 100.000 0.000 100.000 100.000 100.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.000 0.609 8.668 9.966 11.644
α_1 100 0 0.873 1.411 −2.676 0.841 4.144
α_2 100 0 0.514 0.145 0.207 0.512 1.042
α_3 100 0 1.013 0.139 0.662 1.010 1.360
γ_0 100 0 0.886 1.115 −2.705 1.022 2.746
γ_1 100 0 0.820 1.754 −4.288 0.737 5.277
γ_2 100 0 1.015 0.163 0.761 0.999 1.562
γ_3 100 0 1.008 0.169 0.710 0.971 1.518
θ 100 0 0.249 0.361 −0.511 0.216 1.569
sd_α_0 100 0 0.039 0.009 0.021 0.038 0.062
sd_α_1 100 0 0.134 0.028 0.086 0.131 0.241
sd_α_2 100 0 0.014 0.003 0.009 0.014 0.028
sd_α_3 100 0 0.012 0.002 0.007 0.012 0.022
sd_γ_0 100 0 0.338 0.097 0.160 0.316 0.644
sd_γ_1 100 0 0.531 0.248 0.118 0.467 1.496
sd_γ_2 100 0 0.013 0.003 0.008 0.013 0.020
sd_γ_3 100 0 0.013 0.003 0.008 0.012 0.026
sd_θ 100 0 0.033 0.010 0.016 0.031 0.064
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 200\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 200.000 0.000 200.000 200.000 200.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.971 0.392 9.083 9.932 11.142
α_1 100 0 0.983 1.008 −1.916 1.021 3.446
α_2 100 0 0.498 0.106 0.255 0.489 0.800
α_3 100 0 0.983 0.095 0.814 0.981 1.286
γ_0 100 0 0.755 0.696 −1.330 0.714 2.564
γ_1 100 0 0.811 1.349 −2.427 0.846 4.138
γ_2 100 0 1.028 0.098 0.814 1.018 1.310
γ_3 100 0 1.031 0.095 0.803 1.030 1.332
θ 100 0 0.273 0.238 −0.289 0.268 0.956
sd_α_0 100 0 0.019 0.003 0.013 0.019 0.032
sd_α_1 100 0 0.064 0.010 0.046 0.063 0.091
sd_α_2 100 0 0.007 0.001 0.005 0.007 0.010
sd_α_3 100 0 0.006 0.001 0.004 0.006 0.008
sd_γ_0 100 0 0.172 0.032 0.107 0.171 0.235
sd_γ_1 100 0 0.269 0.080 0.123 0.254 0.519
sd_γ_2 100 0 0.006 0.001 0.005 0.006 0.009
sd_γ_3 100 0 0.006 0.001 0.004 0.006 0.009
sd_θ 100 0 0.017 0.003 0.011 0.017 0.023
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 1000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 1000.000 0.000 1000.000 1000.000 1000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.028 0.204 9.613 10.024 10.608
α_1 100 0 1.011 0.439 0.159 1.018 2.029
α_2 100 0 0.503 0.053 0.384 0.510 0.622
α_3 100 0 1.010 0.046 0.915 1.012 1.112
γ_0 100 0 0.976 0.312 0.207 0.961 2.034
γ_1 100 0 0.925 0.569 −0.508 0.882 2.970
γ_2 100 0 1.002 0.047 0.860 1.003 1.134
γ_3 100 0 1.003 0.042 0.882 1.001 1.118
θ 100 0 0.215 0.110 −0.181 0.202 0.513
sd_α_0 100 0 0.004 0.000 0.003 0.004 0.005
sd_α_1 100 0 0.013 0.001 0.011 0.013 0.016
sd_α_2 100 0 0.001 0.000 0.001 0.001 0.002
sd_α_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_0 100 0 0.033 0.003 0.026 0.032 0.043
sd_γ_1 100 0 0.050 0.007 0.035 0.048 0.069
sd_γ_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_3 100 0 0.001 0.000 0.001 0.001 0.002
sd_θ 100 0 0.003 0.000 0.003 0.003 0.004
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 2000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 2000.000 0.000 2000.000 2000.000 2000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.001 0.135 9.705 9.999 10.503
α_1 100 0 1.015 0.304 0.296 1.053 1.931
α_2 100 0 0.499 0.031 0.434 0.495 0.592
α_3 100 0 1.002 0.030 0.923 1.002 1.124
γ_0 100 0 0.988 0.211 0.491 1.000 1.475
γ_1 100 0 0.940 0.370 0.050 0.914 1.805
γ_2 100 0 1.000 0.030 0.932 0.998 1.068
γ_3 100 0 1.001 0.030 0.912 1.002 1.077
θ 100 0 0.213 0.065 0.038 0.224 0.324
sd_α_0 100 0 0.002 0.000 0.002 0.002 0.002
sd_α_1 100 0 0.006 0.000 0.006 0.006 0.008
sd_α_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_α_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_0 100 0 0.016 0.001 0.014 0.016 0.020
sd_γ_1 100 0 0.024 0.003 0.020 0.024 0.035
sd_γ_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_θ 100 0 0.002 0.000 0.001 0.002 0.002
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 5000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 5000.000 0.000 5000.000 5000.000 5000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.001 0.086 9.814 9.999 10.170
α_1 100 0 1.027 0.208 0.573 1.011 1.535
α_2 100 0 0.498 0.024 0.444 0.498 0.558
α_3 100 0 1.001 0.021 0.959 0.999 1.056
γ_0 100 0 1.006 0.146 0.594 1.010 1.400
γ_1 100 0 0.974 0.254 0.304 0.962 1.555
γ_2 100 0 0.999 0.021 0.954 0.999 1.059
γ_3 100 0 0.997 0.022 0.943 0.998 1.061
θ 100 0 0.204 0.041 0.113 0.207 0.299
sd_α_0 100 0 0.001 0.000 0.001 0.001 0.001
sd_α_1 100 0 0.003 0.000 0.002 0.003 0.003
sd_α_2 100 0 0.000 0.000 0.000 0.000 0.000
sd_α_3 100 0 0.000 0.000 0.000 0.000 0.000
sd_γ_0 100 0 0.006 0.000 0.006 0.006 0.007
sd_γ_1 100 0 0.010 0.001 0.008 0.010 0.012
sd_γ_2 100 0 0.000 0.000 0.000 0.000 0.000
sd_γ_3 100 0 0.000 0.000 0.000 0.000 0.000
sd_θ 100 0 0.001 0.000 0.001 0.001 0.001
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000

\(\alpha_2 = 1.0\)

\(n = 50\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 50.000 0.000 50.000 50.000 50.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.040 1.033 8.325 9.983 14.154
α_1 100 0 0.732 3.527 −7.984 0.989 13.497
α_2 100 0 1.034 0.395 −0.040 0.982 2.165
α_3 100 0 1.018 0.228 0.547 1.015 2.066
γ_0 100 0 0.685 1.396 −3.283 0.908 3.717
γ_1 100 0 −0.548 14.792 −137.315 1.171 18.350
γ_2 100 0 1.035 0.209 0.596 1.011 1.701
γ_3 100 0 1.052 0.237 0.534 1.020 1.689
θ 100 0 0.374 1.192 −1.655 0.165 10.772
sd_α_0 100 0 0.082 0.033 0.040 0.075 0.223
sd_α_1 100 0 0.446 0.159 0.165 0.414 1.145
sd_α_2 100 0 0.048 0.017 0.017 0.045 0.106
sd_α_3 100 0 0.024 0.008 0.014 0.022 0.057
sd_γ_0 100 0 0.722 0.291 0.297 0.670 1.856
sd_γ_1 100 0 2.787 10.055 0.475 1.508 101.723
sd_γ_2 100 0 0.027 0.007 0.012 0.026 0.050
sd_γ_3 100 0 0.027 0.009 0.012 0.026 0.069
sd_θ 100 0 0.070 0.028 0.027 0.066 0.170
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 100\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 100.000 0.000 100.000 100.000 100.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.888 0.665 8.647 9.810 11.863
α_1 100 0 1.235 2.322 −4.598 1.410 5.977
α_2 100 0 0.950 0.277 0.235 0.969 1.804
α_3 100 0 0.979 0.162 0.634 0.967 1.363
γ_0 100 0 0.991 0.985 −1.499 1.034 3.186
γ_1 100 0 0.778 3.913 −17.339 1.335 8.883
γ_2 100 0 0.993 0.143 0.652 0.984 1.396
γ_3 100 0 1.015 0.159 0.660 0.995 1.431
θ 100 0 0.246 0.429 −0.645 0.184 2.547
sd_α_0 100 0 0.038 0.010 0.021 0.038 0.080
sd_α_1 100 0 0.219 0.042 0.138 0.218 0.320
sd_α_2 100 0 0.023 0.004 0.014 0.023 0.035
sd_α_3 100 0 0.012 0.002 0.008 0.012 0.018
sd_γ_0 100 0 0.338 0.082 0.169 0.335 0.569
sd_γ_1 100 0 0.890 0.413 0.354 0.800 3.502
sd_γ_2 100 0 0.013 0.003 0.008 0.012 0.020
sd_γ_3 100 0 0.013 0.003 0.009 0.013 0.021
sd_θ 100 0 0.033 0.008 0.016 0.032 0.058
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 200\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 200.000 0.000 200.000 200.000 200.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.989 0.402 9.067 9.978 10.821
α_1 100 0 0.892 1.662 −2.511 0.818 5.197
α_2 100 0 1.010 0.174 0.651 1.021 1.376
α_3 100 0 1.008 0.093 0.737 1.010 1.240
γ_0 100 0 0.895 0.701 −1.357 0.977 2.249
γ_1 100 0 1.147 1.722 −3.622 1.101 5.098
γ_2 100 0 1.018 0.107 0.777 1.008 1.352
γ_3 100 0 1.013 0.098 0.841 1.005 1.347
θ 100 0 0.198 0.183 −0.195 0.210 0.722
sd_α_0 100 0 0.019 0.003 0.013 0.019 0.030
sd_α_1 100 0 0.112 0.016 0.082 0.109 0.164
sd_α_2 100 0 0.012 0.002 0.008 0.012 0.018
sd_α_3 100 0 0.006 0.001 0.004 0.006 0.009
sd_γ_0 100 0 0.161 0.034 0.110 0.159 0.275
sd_γ_1 100 0 0.382 0.123 0.173 0.362 0.893
sd_γ_2 100 0 0.006 0.001 0.004 0.006 0.009
sd_γ_3 100 0 0.006 0.001 0.005 0.007 0.010
sd_θ 100 0 0.016 0.003 0.010 0.015 0.026
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 1000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 1000.000 0.000 1000.000 1000.000 1000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.988 0.171 9.578 9.975 10.431
α_1 100 0 0.821 0.715 −0.816 0.789 2.254
α_2 100 0 1.015 0.078 0.850 1.014 1.272
α_3 100 0 0.997 0.042 0.893 1.000 1.083
γ_0 100 0 0.963 0.309 0.199 0.954 1.754
γ_1 100 0 1.064 0.759 −0.706 1.039 3.020
γ_2 100 0 1.004 0.045 0.875 1.004 1.105
γ_3 100 0 1.003 0.044 0.893 1.005 1.115
θ 100 0 0.201 0.078 0.025 0.204 0.366
sd_α_0 100 0 0.004 0.000 0.003 0.004 0.005
sd_α_1 100 0 0.022 0.001 0.018 0.022 0.026
sd_α_2 100 0 0.002 0.000 0.002 0.002 0.003
sd_α_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_0 100 0 0.032 0.003 0.025 0.032 0.042
sd_γ_1 100 0 0.075 0.010 0.055 0.074 0.106
sd_γ_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_3 100 0 0.001 0.000 0.001 0.001 0.002
sd_θ 100 0 0.003 0.000 0.002 0.003 0.004
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 2000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 2000.000 0.000 2000.000 2000.000 2000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.996 0.145 9.645 9.980 10.376
α_1 100 0 1.038 0.491 0.048 1.017 2.282
α_2 100 0 0.995 0.058 0.795 0.986 1.122
α_3 100 0 1.000 0.032 0.908 1.001 1.091
γ_0 100 0 0.962 0.217 0.315 0.979 1.463
γ_1 100 0 1.026 0.641 −0.504 1.069 2.565
γ_2 100 0 1.004 0.034 0.933 1.000 1.087
γ_3 100 0 1.001 0.031 0.910 1.003 1.110
θ 100 0 0.204 0.064 0.042 0.199 0.377
sd_α_0 100 0 0.002 0.000 0.002 0.002 0.002
sd_α_1 100 0 0.011 0.001 0.010 0.011 0.012
sd_α_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_α_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_0 100 0 0.016 0.001 0.014 0.016 0.019
sd_γ_1 100 0 0.038 0.004 0.030 0.038 0.048
sd_γ_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_θ 100 0 0.002 0.000 0.001 0.002 0.002
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 5000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 5000.000 0.000 5000.000 5000.000 5000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.992 0.080 9.850 9.989 10.241
α_1 100 0 0.987 0.308 0.308 0.955 2.050
α_2 100 0 0.999 0.032 0.921 1.004 1.083
α_3 100 0 0.999 0.020 0.950 0.998 1.046
γ_0 100 0 1.013 0.133 0.654 1.009 1.301
γ_1 100 0 1.041 0.344 0.096 1.099 1.727
γ_2 100 0 1.000 0.020 0.963 0.998 1.048
γ_3 100 0 0.997 0.020 0.939 0.998 1.049
θ 100 0 0.194 0.034 0.114 0.196 0.285
sd_α_0 100 0 0.001 0.000 0.001 0.001 0.001
sd_α_1 100 0 0.004 0.000 0.004 0.004 0.005
sd_α_2 100 0 0.000 0.000 0.000 0.000 0.001
sd_α_3 100 0 0.000 0.000 0.000 0.000 0.000
sd_γ_0 100 0 0.006 0.000 0.006 0.006 0.007
sd_γ_1 100 0 0.015 0.001 0.013 0.015 0.018
sd_γ_2 100 0 0.000 0.000 0.000 0.000 0.000
sd_γ_3 100 0 0.000 0.000 0.000 0.000 0.000
sd_θ 100 0 0.001 0.000 0.001 0.001 0.001
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000

\(\alpha_2 = 5.0\)

\(n = 50\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 50.000 0.000 50.000 50.000 50.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.002 1.058 7.983 9.898 14.800
α_1 100 0 1.377 15.017 −48.230 0.894 38.341
α_2 100 0 4.940 1.918 0.544 4.849 15.191
α_3 100 0 1.006 0.242 0.572 0.991 2.311
γ_0 100 0 0.511 1.736 −5.222 0.866 3.351
γ_1 100 0 −4.801 27.217 −157.492 1.365 32.063
γ_2 100 0 1.067 0.272 0.558 1.023 2.006
γ_3 100 0 1.058 0.206 0.657 1.021 1.673
θ 100 0 0.391 0.651 −0.854 0.264 3.853
sd_α_0 100 0 0.081 0.030 0.032 0.074 0.192
sd_α_1 100 0 2.022 0.706 0.858 2.036 5.393
sd_α_2 100 0 0.220 0.074 0.097 0.219 0.594
sd_α_3 100 0 0.024 0.007 0.011 0.023 0.057
sd_γ_0 100 0 0.714 0.273 0.278 0.660 1.569
sd_γ_1 100 0 7.467 6.235 2.297 6.091 58.580
sd_γ_2 100 0 0.029 0.010 0.016 0.027 0.062
sd_γ_3 100 0 0.027 0.009 0.013 0.026 0.056
sd_θ 100 0 0.069 0.026 0.027 0.064 0.159
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 100\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 100.000 0.000 100.000 100.000 100.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.019 0.671 8.679 10.062 12.231
α_1 100 0 2.664 10.353 −18.538 1.161 33.037
α_2 100 0 4.837 1.178 1.936 4.857 7.383
α_3 100 0 1.002 0.139 0.698 0.996 1.357
γ_0 100 0 0.999 0.967 −1.678 1.054 3.016
γ_1 100 0 −0.080 11.572 −49.144 0.659 23.910
γ_2 100 0 0.993 0.160 0.569 0.981 1.481
γ_3 100 0 0.997 0.155 0.681 0.995 1.343
θ 100 0 0.235 0.280 −0.298 0.192 1.542
sd_α_0 100 0 0.039 0.010 0.023 0.037 0.080
sd_α_1 100 0 0.948 0.211 0.481 0.925 1.716
sd_α_2 100 0 0.103 0.023 0.063 0.099 0.226
sd_α_3 100 0 0.013 0.003 0.008 0.012 0.022
sd_γ_0 100 0 0.318 0.087 0.148 0.308 0.506
sd_γ_1 100 0 3.309 1.517 1.199 3.049 11.036
sd_γ_2 100 0 0.013 0.002 0.009 0.012 0.020
sd_γ_3 100 0 0.013 0.002 0.008 0.012 0.020
sd_θ 100 0 0.031 0.008 0.015 0.029 0.051
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 200\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 200.000 0.000 200.000 200.000 200.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.955 0.387 9.235 9.913 11.116
α_1 100 0 0.953 6.612 −20.606 1.011 18.557
α_2 100 0 4.949 0.771 3.250 4.930 7.343
α_3 100 0 0.980 0.087 0.739 0.973 1.348
γ_0 100 0 0.897 0.786 −1.441 1.018 2.274
γ_1 100 0 0.073 7.274 −23.077 0.463 18.307
γ_2 100 0 1.013 0.114 0.813 0.995 1.324
γ_3 100 0 1.007 0.110 0.743 1.009 1.265
θ 100 0 0.238 0.176 −0.171 0.218 0.814
sd_α_0 100 0 0.019 0.003 0.014 0.018 0.029
sd_α_1 100 0 0.474 0.067 0.334 0.471 0.669
sd_α_2 100 0 0.051 0.007 0.035 0.050 0.067
sd_α_3 100 0 0.006 0.001 0.004 0.006 0.008
sd_γ_0 100 0 0.153 0.028 0.092 0.149 0.224
sd_γ_1 100 0 1.474 0.352 0.775 1.438 2.563
sd_γ_2 100 0 0.006 0.001 0.005 0.006 0.009
sd_γ_3 100 0 0.006 0.001 0.004 0.006 0.009
sd_θ 100 0 0.015 0.003 0.009 0.015 0.023
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 1000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 1000.000 0.000 1000.000 1000.000 1000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.982 0.193 9.560 9.971 10.435
α_1 100 0 1.092 3.330 −6.629 0.974 7.706
α_2 100 0 4.972 0.378 4.148 5.007 5.920
α_3 100 0 0.992 0.049 0.891 0.986 1.130
γ_0 100 0 0.945 0.330 −0.030 0.942 1.641
γ_1 100 0 0.908 3.676 −7.279 0.801 10.889
γ_2 100 0 1.006 0.047 0.896 1.008 1.126
γ_3 100 0 1.013 0.047 0.900 1.010 1.109
θ 100 0 0.211 0.078 0.001 0.211 0.369
sd_α_0 100 0 0.004 0.000 0.003 0.004 0.005
sd_α_1 100 0 0.096 0.006 0.083 0.096 0.115
sd_α_2 100 0 0.010 0.001 0.009 0.010 0.012
sd_α_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_0 100 0 0.031 0.003 0.025 0.031 0.040
sd_γ_1 100 0 0.299 0.038 0.199 0.296 0.437
sd_γ_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_θ 100 0 0.003 0.000 0.002 0.003 0.004
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 2000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 2000.000 0.000 2000.000 2000.000 2000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.999 0.134 9.692 10.002 10.278
α_1 100 0 1.050 2.303 −6.558 1.026 6.791
α_2 100 0 4.995 0.248 4.188 4.964 5.820
α_3 100 0 1.002 0.030 0.929 1.001 1.072
γ_0 100 0 0.983 0.216 0.423 0.979 1.454
γ_1 100 0 0.878 2.265 −4.816 0.770 6.018
γ_2 100 0 1.003 0.033 0.915 1.000 1.104
γ_3 100 0 0.995 0.031 0.916 1.001 1.074
θ 100 0 0.205 0.052 0.093 0.209 0.337
sd_α_0 100 0 0.002 0.000 0.002 0.002 0.002
sd_α_1 100 0 0.048 0.002 0.043 0.048 0.054
sd_α_2 100 0 0.005 0.000 0.005 0.005 0.006
sd_α_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_0 100 0 0.016 0.001 0.014 0.016 0.018
sd_γ_1 100 0 0.150 0.014 0.111 0.149 0.193
sd_γ_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_θ 100 0 0.002 0.000 0.001 0.002 0.002
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 5000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 5000.000 0.000 5000.000 5000.000 5000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.000 0.084 9.818 10.003 10.194
α_1 100 0 0.896 1.299 −2.603 1.018 4.193
α_2 100 0 5.009 0.169 4.558 5.006 5.406
α_3 100 0 1.001 0.019 0.951 1.001 1.055
γ_0 100 0 1.001 0.123 0.673 1.007 1.323
γ_1 100 0 1.069 1.455 −2.417 1.146 4.260
γ_2 100 0 0.999 0.020 0.956 0.999 1.052
γ_3 100 0 0.998 0.018 0.957 0.999 1.037
θ 100 0 0.199 0.035 0.110 0.196 0.314
sd_α_0 100 0 0.001 0.000 0.001 0.001 0.001
sd_α_1 100 0 0.019 0.001 0.017 0.019 0.021
sd_α_2 100 0 0.002 0.000 0.002 0.002 0.002
sd_α_3 100 0 0.000 0.000 0.000 0.000 0.000
sd_γ_0 100 0 0.006 0.000 0.006 0.006 0.007
sd_γ_1 100 0 0.059 0.003 0.053 0.060 0.068
sd_γ_2 100 0 0.000 0.000 0.000 0.000 0.000
sd_γ_3 100 0 0.000 0.000 0.000 0.000 0.000
sd_θ 100 0 0.001 0.000 0.001 0.001 0.001
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000

\(\alpha_2 = 20.0\)

\(n = 50\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 50.000 0.000 50.000 50.000 50.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.907 0.938 7.866 9.809 12.850
α_1 100 0 1.370 51.562 −120.993 −5.489 170.966
α_2 100 0 19.581 6.126 3.832 19.461 40.350
α_3 100 0 0.994 0.232 0.524 0.955 1.846
γ_0 100 0 0.408 2.155 −9.663 0.710 4.317
γ_1 100 0 6.311 89.939 −415.312 10.375 192.299
γ_2 100 0 1.058 0.282 0.548 1.047 2.227
γ_3 100 0 1.080 0.347 0.632 1.011 2.963
θ 100 0 0.262 0.494 −0.626 0.172 2.440
sd_α_0 100 0 0.079 0.030 0.037 0.072 0.179
sd_α_1 100 0 7.858 2.358 4.104 7.555 15.607
sd_α_2 100 0 0.843 0.244 0.454 0.826 1.507
sd_α_3 100 0 0.024 0.007 0.010 0.023 0.041
sd_γ_0 100 0 0.751 0.338 0.316 0.681 2.576
sd_γ_1 100 0 31.159 23.060 6.889 24.197 159.032
sd_γ_2 100 0 0.029 0.011 0.014 0.026 0.071
sd_γ_3 100 0 0.030 0.013 0.016 0.026 0.095
sd_θ 100 0 0.073 0.035 0.026 0.068 0.267
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 100\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 100.000 0.000 100.000 100.000 100.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.964 0.590 8.849 9.864 12.076
α_1 100 0 −6.842 38.993 −106.509 −8.018 94.391
α_2 100 0 20.716 4.666 11.087 20.285 34.440
α_3 100 0 0.994 0.129 0.703 0.993 1.496
γ_0 100 0 1.017 1.082 −2.746 1.186 2.885
γ_1 100 0 −0.088 44.747 −150.445 1.305 160.906
γ_2 100 0 1.003 0.161 0.668 0.977 1.508
γ_3 100 0 0.978 0.148 0.646 0.972 1.490
θ 100 0 0.206 0.265 −0.593 0.154 1.063
sd_α_0 100 0 0.038 0.010 0.020 0.036 0.084
sd_α_1 100 0 3.775 0.852 2.082 3.739 6.275
sd_α_2 100 0 0.413 0.085 0.254 0.412 0.694
sd_α_3 100 0 0.012 0.003 0.008 0.012 0.028
sd_γ_0 100 0 0.311 0.075 0.181 0.294 0.490
sd_γ_1 100 0 11.348 4.400 4.503 10.862 27.133
sd_γ_2 100 0 0.012 0.003 0.008 0.012 0.020
sd_γ_3 100 0 0.013 0.003 0.007 0.013 0.019
sd_θ 100 0 0.030 0.007 0.017 0.029 0.049
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 200\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 200.000 0.000 200.000 200.000 200.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.041 0.450 9.145 10.047 11.300
α_1 100 0 3.898 32.444 −76.175 2.590 80.157
α_2 100 0 19.927 3.680 12.924 19.748 32.442
α_3 100 0 1.025 0.102 0.792 1.028 1.270
γ_0 100 0 1.040 0.623 −0.460 1.052 2.627
γ_1 100 0 −4.063 25.418 −65.590 −4.101 47.477
γ_2 100 0 0.990 0.095 0.707 0.983 1.242
γ_3 100 0 1.003 0.099 0.771 0.997 1.234
θ 100 0 0.222 0.151 −0.115 0.210 0.605
sd_α_0 100 0 0.019 0.003 0.014 0.019 0.026
sd_α_1 100 0 1.889 0.305 0.874 1.884 2.794
sd_α_2 100 0 0.205 0.032 0.112 0.201 0.289
sd_α_3 100 0 0.006 0.001 0.004 0.006 0.008
sd_γ_0 100 0 0.157 0.027 0.083 0.151 0.230
sd_γ_1 100 0 5.923 1.701 1.573 5.759 10.310
sd_γ_2 100 0 0.006 0.001 0.004 0.006 0.010
sd_γ_3 100 0 0.006 0.001 0.005 0.006 0.008
sd_θ 100 0 0.015 0.003 0.008 0.015 0.022
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 1000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 1000.000 0.000 1000.000 1000.000 1000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.986 0.172 9.642 9.959 10.463
α_1 100 0 1.846 13.554 −32.313 1.997 35.088
α_2 100 0 19.849 1.481 16.789 19.801 23.422
α_3 100 0 0.995 0.044 0.904 0.992 1.124
γ_0 100 0 1.037 0.276 0.146 1.034 1.619
γ_1 100 0 −0.142 13.378 −30.588 −1.968 38.986
γ_2 100 0 0.997 0.040 0.914 0.993 1.104
γ_3 100 0 0.998 0.046 0.907 0.993 1.134
θ 100 0 0.202 0.076 0.026 0.211 0.375
sd_α_0 100 0 0.004 0.000 0.003 0.004 0.005
sd_α_1 100 0 0.375 0.028 0.314 0.372 0.462
sd_α_2 100 0 0.041 0.003 0.035 0.040 0.049
sd_α_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_0 100 0 0.031 0.003 0.024 0.031 0.039
sd_γ_1 100 0 1.134 0.144 0.825 1.131 1.578
sd_γ_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_3 100 0 0.001 0.000 0.001 0.001 0.002
sd_θ 100 0 0.003 0.000 0.002 0.003 0.004
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 2000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 2000.000 0.000 2000.000 2000.000 2000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.989 0.154 9.663 9.990 10.370
α_1 100 0 2.484 8.550 −26.404 3.687 21.428
α_2 100 0 19.802 1.119 17.548 19.748 23.647
α_3 100 0 0.999 0.034 0.918 1.000 1.075
γ_0 100 0 0.989 0.192 0.541 0.985 1.465
γ_1 100 0 1.404 9.574 −24.190 1.093 20.914
γ_2 100 0 1.003 0.029 0.919 1.002 1.087
γ_3 100 0 0.998 0.031 0.928 1.000 1.061
θ 100 0 0.199 0.053 0.077 0.196 0.329
sd_α_0 100 0 0.002 0.000 0.002 0.002 0.002
sd_α_1 100 0 0.186 0.010 0.164 0.186 0.215
sd_α_2 100 0 0.020 0.001 0.018 0.020 0.023
sd_α_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_0 100 0 0.016 0.001 0.014 0.016 0.021
sd_γ_1 100 0 0.574 0.056 0.466 0.569 0.775
sd_γ_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_θ 100 0 0.002 0.000 0.001 0.002 0.002
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 5000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 5000.000 0.000 5000.000 5000.000 5000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.007 0.092 9.755 10.000 10.283
α_1 100 0 0.720 5.440 −13.112 0.422 12.155
α_2 100 0 20.050 0.645 18.084 20.056 21.485
α_3 100 0 1.003 0.022 0.949 1.003 1.072
γ_0 100 0 0.989 0.132 0.639 0.993 1.273
γ_1 100 0 1.541 5.463 −10.233 1.874 11.974
γ_2 100 0 1.000 0.019 0.958 1.000 1.054
γ_3 100 0 1.001 0.020 0.961 1.001 1.060
θ 100 0 0.199 0.033 0.111 0.198 0.281
sd_α_0 100 0 0.001 0.000 0.001 0.001 0.001
sd_α_1 100 0 0.074 0.002 0.068 0.074 0.081
sd_α_2 100 0 0.008 0.000 0.007 0.008 0.009
sd_α_3 100 0 0.000 0.000 0.000 0.000 0.000
sd_γ_0 100 0 0.006 0.000 0.006 0.006 0.007
sd_γ_1 100 0 0.227 0.014 0.191 0.227 0.272
sd_γ_2 100 0 0.000 0.000 0.000 0.000 0.000
sd_γ_3 100 0 0.000 0.000 0.000 0.000 0.000
sd_θ 100 0 0.001 0.000 0.001 0.001 0.001
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000

\(\theta = 0.33\)

\(\alpha_2 = 0.1\)

\(n = 50\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 50.000 0.000 50.000 50.000 50.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.105 0.902 7.916 10.028 12.702
α_1 100 0 1.046 1.056 −1.100 0.896 4.684
α_2 100 0 0.103 0.092 −0.171 0.098 0.323
α_3 100 0 1.004 0.219 0.569 0.991 1.623
γ_0 100 0 1.065 1.516 −4.142 1.438 4.185
γ_1 100 0 −44.442 1138.732 −5578.018 1.027 8383.399
γ_2 100 0 0.982 0.211 0.382 0.949 1.643
γ_3 100 0 0.981 0.200 0.535 0.958 1.596
θ 100 0 16.862 636.150 −4946.867 0.229 3070.846
sd_α_0 100 0 0.082 0.026 0.041 0.080 0.191
sd_α_1 100 0 0.127 0.035 0.069 0.120 0.229
sd_α_2 100 0 0.013 0.004 0.006 0.012 0.024
sd_α_3 100 0 0.026 0.007 0.013 0.025 0.044
sd_γ_0 100 0 0.724 0.233 0.286 0.699 1.528
sd_γ_1 100 0 85.795 405.953 0.224 0.711 2584.993
sd_γ_2 100 0 0.025 0.007 0.012 0.024 0.044
sd_γ_3 100 0 0.026 0.008 0.015 0.025 0.057
sd_θ 100 0 0.071 0.023 0.034 0.067 0.156
status 2 0 4.280 1.379 4.000 4.000 11.000
status_indicator 2 0 0.960 0.197 0.000 1.000 1.000
\(n = 100\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 100.000 0.000 100.000 100.000 100.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.943 0.644 8.511 9.888 11.803
α_1 100 0 1.030 0.656 −1.098 1.009 2.949
α_2 100 0 0.094 0.059 −0.039 0.092 0.305
α_3 100 0 1.003 0.158 0.666 0.989 1.558
γ_0 100 0 1.035 1.136 −2.674 1.152 2.769
γ_1 100 0 −91.230 588.564 −5093.724 0.716 11.130
γ_2 100 0 0.995 0.166 0.703 0.966 1.457
γ_3 100 0 0.999 0.160 0.665 0.985 1.541
θ 100 0 61.078 433.245 −5.498 0.427 4116.148
sd_α_0 100 0 0.038 0.009 0.023 0.037 0.075
sd_α_1 100 0 0.061 0.012 0.037 0.060 0.094
sd_α_2 100 0 0.006 0.001 0.004 0.006 0.009
sd_α_3 100 0 0.012 0.002 0.007 0.012 0.022
sd_γ_0 100 0 0.336 0.089 0.172 0.313 0.578
sd_γ_1 100 0 14.492 83.717 0.132 0.371 620.733
sd_γ_2 100 0 0.013 0.003 0.008 0.012 0.022
sd_γ_3 100 0 0.013 0.003 0.008 0.013 0.022
sd_θ 100 0 0.033 0.009 0.017 0.031 0.058
status 2 0 4.210 1.200 4.000 4.000 11.000
status_indicator 2 0 0.970 0.171 0.000 1.000 1.000
\(n = 200\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 200.000 0.000 200.000 200.000 200.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.021 0.418 9.172 9.970 11.266
α_1 100 0 1.039 0.462 −0.247 0.990 2.050
α_2 100 0 0.097 0.042 −0.003 0.096 0.235
α_3 100 0 1.008 0.096 0.801 1.004 1.253
γ_0 100 0 0.854 0.652 −0.964 0.852 2.344
γ_1 100 0 0.661 1.543 −11.142 0.899 4.071
γ_2 100 0 1.014 0.094 0.837 1.006 1.252
γ_3 100 0 1.026 0.101 0.817 1.024 1.278
θ 100 0 0.529 0.745 −0.976 0.379 6.205
sd_α_0 100 0 0.019 0.003 0.013 0.019 0.033
sd_α_1 100 0 0.030 0.004 0.022 0.030 0.046
sd_α_2 100 0 0.003 0.000 0.002 0.003 0.004
sd_α_3 100 0 0.006 0.001 0.004 0.006 0.008
sd_γ_0 100 0 0.175 0.033 0.110 0.175 0.262
sd_γ_1 100 0 0.323 0.642 0.078 0.205 6.346
sd_γ_2 100 0 0.006 0.001 0.005 0.006 0.008
sd_γ_3 100 0 0.006 0.001 0.004 0.006 0.010
sd_θ 100 0 0.017 0.003 0.011 0.017 0.026
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 1000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 1000.000 0.000 1000.000 1000.000 1000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.987 0.203 9.377 9.972 10.663
α_1 100 0 1.005 0.200 0.332 1.003 1.444
α_2 100 0 0.099 0.020 0.053 0.101 0.155
α_3 100 0 1.004 0.048 0.843 1.004 1.118
γ_0 100 0 1.011 0.300 0.171 1.027 1.736
γ_1 100 0 0.959 0.411 −0.356 0.954 1.920
γ_2 100 0 0.995 0.050 0.861 0.996 1.121
γ_3 100 0 1.008 0.038 0.926 1.003 1.103
θ 100 0 0.355 0.213 −0.201 0.351 1.184
sd_α_0 100 0 0.004 0.000 0.003 0.004 0.005
sd_α_1 100 0 0.006 0.000 0.005 0.006 0.007
sd_α_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_α_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_0 100 0 0.034 0.003 0.026 0.033 0.040
sd_γ_1 100 0 0.040 0.009 0.021 0.040 0.070
sd_γ_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_θ 100 0 0.003 0.000 0.003 0.003 0.004
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 2000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 2000.000 0.000 2000.000 2000.000 2000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.010 0.136 9.632 10.018 10.284
α_1 100 0 1.010 0.130 0.719 1.001 1.343
α_2 100 0 0.099 0.014 0.067 0.098 0.142
α_3 100 0 0.998 0.033 0.931 0.999 1.087
γ_0 100 0 1.007 0.192 0.438 1.037 1.375
γ_1 100 0 0.948 0.311 0.071 0.921 1.874
γ_2 100 0 0.998 0.031 0.924 0.998 1.103
γ_3 100 0 0.998 0.027 0.943 0.998 1.076
θ 100 0 0.354 0.156 −0.140 0.352 0.801
sd_α_0 100 0 0.002 0.000 0.002 0.002 0.002
sd_α_1 100 0 0.003 0.000 0.003 0.003 0.003
sd_α_2 100 0 0.000 0.000 0.000 0.000 0.000
sd_α_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_0 100 0 0.017 0.001 0.014 0.017 0.019
sd_γ_1 100 0 0.019 0.003 0.013 0.019 0.028
sd_γ_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_θ 100 0 0.002 0.000 0.001 0.002 0.002
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 5000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 5000.000 0.000 5000.000 5000.000 5000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.996 0.094 9.756 10.009 10.186
α_1 100 0 0.984 0.093 0.700 0.981 1.208
α_2 100 0 0.101 0.009 0.079 0.101 0.121
α_3 100 0 1.001 0.021 0.948 1.002 1.060
γ_0 100 0 0.993 0.133 0.602 0.990 1.271
γ_1 100 0 1.052 0.177 0.580 1.046 1.477
γ_2 100 0 1.001 0.020 0.951 1.002 1.051
γ_3 100 0 1.000 0.019 0.959 0.999 1.044
θ 100 0 0.307 0.090 0.048 0.298 0.540
sd_α_0 100 0 0.001 0.000 0.001 0.001 0.001
sd_α_1 100 0 0.001 0.000 0.001 0.001 0.001
sd_α_2 100 0 0.000 0.000 0.000 0.000 0.000
sd_α_3 100 0 0.000 0.000 0.000 0.000 0.000
sd_γ_0 100 0 0.007 0.000 0.006 0.007 0.007
sd_γ_1 100 0 0.008 0.001 0.006 0.007 0.009
sd_γ_2 100 0 0.000 0.000 0.000 0.000 0.000
sd_γ_3 100 0 0.000 0.000 0.000 0.000 0.000
sd_θ 100 0 0.001 0.000 0.001 0.001 0.001
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000

\(\alpha_2 = 0.5\)

\(n = 50\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 50.000 0.000 50.000 50.000 50.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.788 0.868 7.676 9.751 13.200
α_1 100 0 0.838 2.063 −3.651 0.938 6.671
α_2 100 0 0.485 0.231 −0.001 0.490 1.293
α_3 100 0 0.971 0.219 0.492 0.951 1.737
γ_0 100 0 1.061 1.365 −2.315 1.101 4.408
γ_1 100 0 −196.235 1108.640 −7565.750 1.006 7.621
γ_2 100 0 1.002 0.196 0.603 0.988 1.425
γ_3 100 0 0.992 0.190 0.624 0.982 1.567
θ 100 0 50.196 300.287 −1.074 0.310 2553.350
sd_α_0 100 0 0.075 0.023 0.039 0.070 0.174
sd_α_1 100 0 0.273 0.085 0.116 0.266 0.590
sd_α_2 100 0 0.029 0.008 0.013 0.027 0.058
sd_α_3 100 0 0.024 0.008 0.013 0.023 0.070
sd_γ_0 100 0 0.688 0.213 0.265 0.646 1.309
sd_γ_1 100 0 139.814 890.038 0.340 1.106 8134.712
sd_γ_2 100 0 0.026 0.007 0.014 0.026 0.043
sd_γ_3 100 0 0.026 0.007 0.014 0.024 0.044
sd_θ 100 0 0.067 0.021 0.029 0.064 0.134
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 100\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 100.000 0.000 100.000 100.000 100.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.124 0.601 8.625 10.097 11.521
α_1 100 0 0.972 1.435 −3.407 0.881 5.203
α_2 100 0 0.523 0.162 0.116 0.529 0.973
α_3 100 0 1.044 0.148 0.716 1.051 1.519
γ_0 100 0 1.200 0.851 −0.579 1.262 3.107
γ_1 100 0 1.052 1.975 −4.719 1.070 7.520
γ_2 100 0 0.985 0.126 0.697 0.989 1.263
γ_3 100 0 0.976 0.136 0.557 0.973 1.354
θ 100 0 0.282 0.345 −0.644 0.258 1.505
sd_α_0 100 0 0.040 0.010 0.025 0.038 0.068
sd_α_1 100 0 0.152 0.035 0.087 0.149 0.283
sd_α_2 100 0 0.016 0.003 0.010 0.016 0.026
sd_α_3 100 0 0.013 0.002 0.008 0.012 0.019
sd_γ_0 100 0 0.333 0.096 0.172 0.314 0.678
sd_γ_1 100 0 0.606 0.348 0.191 0.508 2.444
sd_γ_2 100 0 0.012 0.003 0.009 0.012 0.022
sd_γ_3 100 0 0.012 0.002 0.008 0.012 0.021
sd_θ 100 0 0.032 0.009 0.016 0.031 0.067
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 200\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 200.000 0.000 200.000 200.000 200.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.969 0.451 8.923 9.933 11.168
α_1 100 0 0.994 1.062 −2.433 0.846 4.063
α_2 100 0 0.496 0.109 0.221 0.488 0.786
α_3 100 0 0.999 0.116 0.726 1.009 1.273
γ_0 100 0 1.154 0.607 −0.438 1.157 2.422
γ_1 100 0 0.901 1.635 −3.139 0.952 4.285
γ_2 100 0 0.979 0.087 0.767 0.975 1.239
γ_3 100 0 0.997 0.105 0.723 0.989 1.348
θ 100 0 0.329 0.285 −0.214 0.290 1.076
sd_α_0 100 0 0.019 0.003 0.013 0.019 0.031
sd_α_1 100 0 0.070 0.011 0.047 0.068 0.100
sd_α_2 100 0 0.007 0.001 0.005 0.007 0.011
sd_α_3 100 0 0.006 0.001 0.005 0.006 0.008
sd_γ_0 100 0 0.167 0.037 0.107 0.157 0.265
sd_γ_1 100 0 0.290 0.104 0.114 0.268 0.735
sd_γ_2 100 0 0.006 0.001 0.005 0.006 0.008
sd_γ_3 100 0 0.006 0.001 0.005 0.006 0.008
sd_θ 100 0 0.016 0.004 0.011 0.015 0.027
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 1000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 1000.000 0.000 1000.000 1000.000 1000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.989 0.216 9.527 9.985 10.570
α_1 100 0 0.921 0.428 −0.146 0.935 2.314
α_2 100 0 0.506 0.054 0.332 0.504 0.620
α_3 100 0 1.000 0.042 0.899 1.000 1.119
γ_0 100 0 1.017 0.287 −0.045 1.054 1.589
γ_1 100 0 1.098 0.555 −0.208 1.035 2.450
γ_2 100 0 1.000 0.042 0.899 1.005 1.117
γ_3 100 0 1.000 0.043 0.897 0.994 1.095
θ 100 0 0.311 0.105 0.044 0.306 0.590
sd_α_0 100 0 0.004 0.000 0.003 0.004 0.005
sd_α_1 100 0 0.014 0.001 0.012 0.014 0.016
sd_α_2 100 0 0.001 0.000 0.001 0.001 0.002
sd_α_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_0 100 0 0.032 0.003 0.026 0.032 0.042
sd_γ_1 100 0 0.053 0.009 0.037 0.051 0.077
sd_γ_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_θ 100 0 0.003 0.000 0.003 0.003 0.004
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 2000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 2000.000 0.000 2000.000 2000.000 2000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.983 0.126 9.699 9.986 10.273
α_1 100 0 0.951 0.318 0.161 0.927 1.761
α_2 100 0 0.503 0.034 0.427 0.500 0.587
α_3 100 0 0.996 0.031 0.916 0.995 1.082
γ_0 100 0 0.978 0.216 0.407 0.992 1.508
γ_1 100 0 1.010 0.402 0.062 1.028 1.965
γ_2 100 0 1.006 0.030 0.932 1.005 1.094
γ_3 100 0 1.000 0.031 0.921 1.002 1.072
θ 100 0 0.332 0.081 0.139 0.331 0.558
sd_α_0 100 0 0.002 0.000 0.002 0.002 0.002
sd_α_1 100 0 0.007 0.000 0.006 0.007 0.008
sd_α_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_α_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_0 100 0 0.016 0.001 0.014 0.016 0.019
sd_γ_1 100 0 0.026 0.003 0.021 0.026 0.033
sd_γ_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_θ 100 0 0.002 0.000 0.001 0.002 0.002
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 5000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 5000.000 0.000 5000.000 5000.000 5000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.003 0.085 9.817 9.998 10.200
α_1 100 0 1.034 0.202 0.571 1.027 1.492
α_2 100 0 0.497 0.022 0.452 0.499 0.546
α_3 100 0 1.000 0.021 0.946 1.000 1.058
γ_0 100 0 1.011 0.124 0.696 1.016 1.311
γ_1 100 0 0.923 0.271 0.239 0.928 1.799
γ_2 100 0 0.999 0.017 0.948 0.999 1.041
γ_3 100 0 0.997 0.019 0.954 0.998 1.044
θ 100 0 0.341 0.049 0.157 0.344 0.473
sd_α_0 100 0 0.001 0.000 0.001 0.001 0.001
sd_α_1 100 0 0.003 0.000 0.003 0.003 0.003
sd_α_2 100 0 0.000 0.000 0.000 0.000 0.000
sd_α_3 100 0 0.000 0.000 0.000 0.000 0.000
sd_γ_0 100 0 0.007 0.000 0.006 0.006 0.007
sd_γ_1 100 0 0.011 0.001 0.010 0.011 0.012
sd_γ_2 100 0 0.000 0.000 0.000 0.000 0.000
sd_γ_3 100 0 0.000 0.000 0.000 0.000 0.000
sd_θ 100 0 0.001 0.000 0.001 0.001 0.001
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000

\(\alpha_2 = 1.0\)

\(n = 50\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 50.000 0.000 50.000 50.000 50.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.881 0.911 7.719 9.780 12.297
α_1 100 0 0.820 3.832 −10.976 1.218 10.451
α_2 100 0 0.987 0.444 0.155 0.988 2.274
α_3 100 0 0.974 0.233 0.323 0.985 1.659
γ_0 100 0 0.641 1.874 −6.248 0.962 3.918
γ_1 100 0 −0.016 8.934 −31.751 0.069 59.196
γ_2 100 0 1.053 0.269 0.550 1.019 1.986
γ_3 100 0 1.061 0.272 0.609 1.016 2.385
θ 100 0 0.545 0.970 −3.919 0.437 4.710
sd_α_0 100 0 0.076 0.028 0.038 0.068 0.189
sd_α_1 100 0 0.487 0.121 0.257 0.463 0.885
sd_α_2 100 0 0.053 0.014 0.028 0.050 0.100
sd_α_3 100 0 0.024 0.007 0.013 0.022 0.050
sd_γ_0 100 0 0.761 0.265 0.268 0.750 1.599
sd_γ_1 100 0 2.373 1.712 0.605 2.020 12.138
sd_γ_2 100 0 0.029 0.010 0.013 0.026 0.066
sd_γ_3 100 0 0.028 0.010 0.015 0.026 0.067
sd_θ 100 0 0.074 0.026 0.027 0.072 0.161
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 100\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 100.000 0.000 100.000 100.000 100.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.911 0.619 8.764 9.845 11.944
α_1 100 0 0.851 2.377 −4.596 0.806 6.231
α_2 100 0 0.991 0.288 0.353 0.978 1.800
α_3 100 0 0.999 0.152 0.641 0.992 1.480
γ_0 100 0 0.931 0.933 −2.048 0.944 3.379
γ_1 100 0 1.204 3.438 −6.497 1.582 9.392
γ_2 100 0 1.011 0.142 0.694 0.998 1.433
γ_3 100 0 0.996 0.146 0.687 0.990 1.483
θ 100 0 0.333 0.356 −0.373 0.300 1.199
sd_α_0 100 0 0.037 0.009 0.023 0.036 0.067
sd_α_1 100 0 0.242 0.054 0.144 0.236 0.431
sd_α_2 100 0 0.026 0.005 0.015 0.025 0.043
sd_α_3 100 0 0.012 0.002 0.009 0.011 0.019
sd_γ_0 100 0 0.321 0.077 0.153 0.313 0.634
sd_γ_1 100 0 0.878 0.362 0.368 0.772 2.536
sd_γ_2 100 0 0.013 0.003 0.010 0.012 0.024
sd_γ_3 100 0 0.013 0.002 0.009 0.013 0.020
sd_θ 100 0 0.031 0.008 0.015 0.031 0.059
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 200\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 200.000 0.000 200.000 200.000 200.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.991 0.399 9.100 9.926 10.992
α_1 100 0 0.978 1.600 −2.596 1.086 4.918
α_2 100 0 1.004 0.184 0.606 0.988 1.468
α_3 100 0 0.998 0.087 0.807 0.986 1.228
γ_0 100 0 1.030 0.696 −0.888 1.017 3.541
γ_1 100 0 1.210 2.091 −6.672 1.261 6.603
γ_2 100 0 0.990 0.104 0.637 0.987 1.256
γ_3 100 0 0.998 0.100 0.708 0.998 1.296
θ 100 0 0.311 0.221 −0.147 0.322 1.128
sd_α_0 100 0 0.019 0.003 0.014 0.019 0.027
sd_α_1 100 0 0.122 0.019 0.092 0.119 0.186
sd_α_2 100 0 0.013 0.002 0.010 0.013 0.021
sd_α_3 100 0 0.006 0.001 0.004 0.006 0.008
sd_γ_0 100 0 0.160 0.027 0.094 0.155 0.261
sd_γ_1 100 0 0.424 0.113 0.260 0.408 0.866
sd_γ_2 100 0 0.006 0.001 0.005 0.006 0.009
sd_γ_3 100 0 0.006 0.001 0.004 0.006 0.010
sd_θ 100 0 0.016 0.003 0.009 0.015 0.025
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 1000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 1000.000 0.000 1000.000 1000.000 1000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.009 0.199 9.552 10.022 10.515
α_1 100 0 1.064 0.807 −1.336 1.050 3.026
α_2 100 0 0.997 0.092 0.774 0.993 1.273
α_3 100 0 1.006 0.052 0.901 1.006 1.140
γ_0 100 0 1.004 0.274 0.250 0.994 1.552
γ_1 100 0 0.893 0.917 −1.210 0.904 2.858
γ_2 100 0 0.999 0.039 0.931 0.992 1.100
γ_3 100 0 1.004 0.042 0.910 1.003 1.102
θ 100 0 0.339 0.102 0.130 0.340 0.599
sd_α_0 100 0 0.004 0.000 0.003 0.004 0.005
sd_α_1 100 0 0.024 0.002 0.019 0.024 0.028
sd_α_2 100 0 0.003 0.000 0.002 0.003 0.003
sd_α_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_0 100 0 0.032 0.003 0.024 0.032 0.042
sd_γ_1 100 0 0.084 0.013 0.058 0.084 0.117
sd_γ_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_θ 100 0 0.003 0.000 0.002 0.003 0.004
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 2000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 2000.000 0.000 2000.000 2000.000 2000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.983 0.130 9.671 9.990 10.252
α_1 100 0 1.070 0.629 −0.608 1.069 2.884
α_2 100 0 0.989 0.064 0.812 0.983 1.179
α_3 100 0 0.996 0.032 0.915 0.996 1.087
γ_0 100 0 0.978 0.229 0.326 0.977 1.440
γ_1 100 0 1.009 0.640 −0.480 1.067 2.528
γ_2 100 0 1.002 0.034 0.939 1.000 1.092
γ_3 100 0 1.002 0.038 0.935 0.997 1.104
θ 100 0 0.335 0.065 0.178 0.330 0.476
sd_α_0 100 0 0.002 0.000 0.002 0.002 0.002
sd_α_1 100 0 0.012 0.001 0.011 0.012 0.014
sd_α_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_α_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_0 100 0 0.016 0.001 0.014 0.016 0.019
sd_γ_1 100 0 0.042 0.004 0.034 0.043 0.055
sd_γ_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_θ 100 0 0.002 0.000 0.001 0.002 0.002
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 5000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 5000.000 0.000 5000.000 5000.000 5000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.015 0.085 9.826 10.024 10.269
α_1 100 0 1.057 0.391 −0.222 1.003 2.088
α_2 100 0 0.997 0.043 0.904 0.998 1.133
α_3 100 0 1.003 0.020 0.961 1.002 1.064
γ_0 100 0 1.005 0.131 0.648 1.014 1.380
γ_1 100 0 0.984 0.408 0.060 0.983 1.755
γ_2 100 0 0.999 0.019 0.950 1.000 1.047
γ_3 100 0 1.000 0.023 0.946 1.001 1.059
θ 100 0 0.330 0.040 0.241 0.331 0.426
sd_α_0 100 0 0.001 0.000 0.001 0.001 0.001
sd_α_1 100 0 0.005 0.000 0.004 0.005 0.006
sd_α_2 100 0 0.001 0.000 0.000 0.001 0.001
sd_α_3 100 0 0.000 0.000 0.000 0.000 0.000
sd_γ_0 100 0 0.006 0.000 0.006 0.006 0.007
sd_γ_1 100 0 0.017 0.001 0.014 0.017 0.020
sd_γ_2 100 0 0.000 0.000 0.000 0.000 0.000
sd_γ_3 100 0 0.000 0.000 0.000 0.000 0.000
sd_θ 100 0 0.001 0.000 0.001 0.001 0.001
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000

\(\alpha_2 = 5.0\)

\(n = 50\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 50.000 0.000 50.000 50.000 50.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.155 1.110 8.022 9.940 14.074
α_1 100 0 −0.743 17.362 −47.100 −1.777 52.841
α_2 100 0 5.352 1.980 0.878 5.258 10.056
α_3 100 0 1.028 0.251 0.492 0.996 2.140
γ_0 100 0 0.539 2.743 −15.815 1.036 3.283
γ_1 100 0 2.477 22.916 −105.350 3.018 69.242
γ_2 100 0 1.036 0.375 0.531 0.967 3.254
γ_3 100 0 1.076 0.435 0.566 1.011 4.192
θ 100 0 0.424 0.697 −0.752 0.225 4.011
sd_α_0 100 0 0.084 0.035 0.037 0.075 0.217
sd_α_1 100 0 2.372 0.857 1.027 2.196 5.757
sd_α_2 100 0 0.256 0.087 0.121 0.247 0.533
sd_α_3 100 0 0.026 0.009 0.013 0.024 0.061
sd_γ_0 100 0 0.739 0.319 0.302 0.680 1.975
sd_γ_1 100 0 8.578 5.249 1.754 7.291 31.683
sd_γ_2 100 0 0.029 0.013 0.013 0.025 0.104
sd_γ_3 100 0 0.028 0.015 0.014 0.025 0.130
sd_θ 100 0 0.071 0.031 0.029 0.065 0.188
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 100\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 100.000 0.000 100.000 100.000 100.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.034 0.656 8.761 9.962 12.255
α_1 100 0 1.650 12.395 −33.550 0.718 38.354
α_2 100 0 4.988 1.422 2.300 4.944 9.145
α_3 100 0 1.001 0.156 0.577 1.020 1.546
γ_0 100 0 0.989 1.015 −1.669 1.226 2.975
γ_1 100 0 −1.129 15.342 −40.129 −0.687 35.773
γ_2 100 0 1.015 0.161 0.705 1.003 1.458
γ_3 100 0 0.982 0.136 0.668 0.976 1.400
θ 100 0 0.368 0.330 −0.324 0.357 1.578
sd_α_0 100 0 0.039 0.011 0.022 0.038 0.079
sd_α_1 100 0 1.104 0.234 0.635 1.084 1.858
sd_α_2 100 0 0.120 0.024 0.072 0.116 0.189
sd_α_3 100 0 0.012 0.002 0.008 0.012 0.019
sd_γ_0 100 0 0.330 0.076 0.198 0.328 0.596
sd_γ_1 100 0 3.769 1.679 1.615 3.462 13.726
sd_γ_2 100 0 0.013 0.003 0.008 0.013 0.023
sd_γ_3 100 0 0.013 0.002 0.008 0.013 0.020
sd_θ 100 0 0.032 0.008 0.019 0.031 0.056
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 200\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 200.000 0.000 200.000 200.000 200.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.080 0.461 9.105 10.044 11.438
α_1 100 0 2.168 8.411 −18.957 2.191 21.653
α_2 100 0 4.968 0.909 2.360 4.973 7.329
α_3 100 0 1.003 0.094 0.807 0.992 1.269
γ_0 100 0 0.991 0.655 −0.938 1.083 2.279
γ_1 100 0 −1.505 9.800 −34.495 −1.450 22.510
γ_2 100 0 0.996 0.101 0.776 0.982 1.237
γ_3 100 0 1.000 0.100 0.813 0.998 1.248
θ 100 0 0.381 0.241 −0.110 0.336 1.250
sd_α_0 100 0 0.020 0.003 0.013 0.019 0.029
sd_α_1 100 0 0.551 0.087 0.387 0.542 0.902
sd_α_2 100 0 0.059 0.008 0.042 0.058 0.089
sd_α_3 100 0 0.006 0.001 0.004 0.006 0.008
sd_γ_0 100 0 0.158 0.028 0.089 0.154 0.217
sd_γ_1 100 0 1.755 0.530 0.905 1.621 3.828
sd_γ_2 100 0 0.006 0.001 0.004 0.006 0.009
sd_γ_3 100 0 0.006 0.001 0.004 0.006 0.009
sd_θ 100 0 0.015 0.003 0.008 0.015 0.022
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 1000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 1000.000 0.000 1000.000 1000.000 1000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.017 0.207 9.502 10.010 10.834
α_1 100 0 1.106 3.724 −11.821 0.780 11.378
α_2 100 0 5.009 0.401 4.036 5.032 6.438
α_3 100 0 0.998 0.050 0.890 1.000 1.130
γ_0 100 0 0.964 0.330 0.185 0.961 1.600
γ_1 100 0 0.862 4.285 −10.247 1.234 9.269
γ_2 100 0 1.004 0.052 0.881 0.999 1.128
γ_3 100 0 1.000 0.045 0.885 1.000 1.095
θ 100 0 0.338 0.095 0.096 0.328 0.580
sd_α_0 100 0 0.004 0.000 0.003 0.004 0.005
sd_α_1 100 0 0.106 0.008 0.091 0.106 0.131
sd_α_2 100 0 0.011 0.001 0.010 0.011 0.013
sd_α_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_0 100 0 0.032 0.003 0.025 0.032 0.040
sd_γ_1 100 0 0.334 0.043 0.226 0.328 0.446
sd_γ_2 100 0 0.001 0.000 0.001 0.001 0.002
sd_γ_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_θ 100 0 0.003 0.000 0.002 0.003 0.004
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 2000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 2000.000 0.000 2000.000 2000.000 2000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.998 0.146 9.661 10.001 10.377
α_1 100 0 0.880 2.928 −9.563 0.832 8.123
α_2 100 0 5.011 0.310 4.243 5.014 6.091
α_3 100 0 0.998 0.030 0.908 0.999 1.086
γ_0 100 0 1.014 0.230 0.491 1.038 1.523
γ_1 100 0 0.887 2.866 −7.982 0.992 7.093
γ_2 100 0 0.999 0.034 0.902 1.004 1.083
γ_3 100 0 0.999 0.032 0.934 0.995 1.096
θ 100 0 0.330 0.069 0.186 0.322 0.474
sd_α_0 100 0 0.002 0.000 0.002 0.002 0.002
sd_α_1 100 0 0.053 0.003 0.047 0.053 0.060
sd_α_2 100 0 0.006 0.000 0.005 0.006 0.006
sd_α_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_0 100 0 0.016 0.001 0.013 0.016 0.021
sd_γ_1 100 0 0.163 0.016 0.129 0.162 0.212
sd_γ_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_θ 100 0 0.002 0.000 0.001 0.002 0.002
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 5000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 5000.000 0.000 5000.000 5000.000 5000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.998 0.088 9.713 9.995 10.212
α_1 100 0 0.987 1.683 −3.239 0.900 5.071
α_2 100 0 4.998 0.194 4.540 4.998 5.521
α_3 100 0 1.001 0.020 0.962 1.003 1.053
γ_0 100 0 1.017 0.154 0.674 1.008 1.517
γ_1 100 0 1.055 1.585 −2.988 1.077 5.520
γ_2 100 0 0.999 0.021 0.934 1.001 1.047
γ_3 100 0 0.998 0.022 0.948 0.997 1.055
θ 100 0 0.326 0.035 0.222 0.328 0.427
sd_α_0 100 0 0.001 0.000 0.001 0.001 0.001
sd_α_1 100 0 0.021 0.001 0.019 0.021 0.023
sd_α_2 100 0 0.002 0.000 0.002 0.002 0.002
sd_α_3 100 0 0.000 0.000 0.000 0.000 0.000
sd_γ_0 100 0 0.006 0.000 0.006 0.006 0.007
sd_γ_1 100 0 0.066 0.004 0.058 0.065 0.075
sd_γ_2 100 0 0.000 0.000 0.000 0.000 0.000
sd_γ_3 100 0 0.000 0.000 0.000 0.000 0.000
sd_θ 100 0 0.001 0.000 0.001 0.001 0.001
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000

\(\alpha_2 = 20.0\)

\(n = 50\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 50.000 0.000 50.000 50.000 50.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.012 1.402 7.889 9.766 20.673
α_1 100 0 7.425 85.038 −130.833 7.690 601.521
α_2 100 0 19.400 7.157 3.583 18.262 41.696
α_3 100 0 1.006 0.267 0.477 0.984 2.735
γ_0 100 0 0.855 1.443 −3.955 0.769 4.436
γ_1 100 0 −27.478 100.281 −423.172 −8.324 164.203
γ_2 100 0 1.021 0.218 0.473 1.035 1.712
γ_3 100 0 1.045 0.215 0.485 1.019 1.618
θ 100 0 0.507 0.610 −0.570 0.374 3.227
sd_α_0 100 0 0.080 0.045 0.037 0.067 0.439
sd_α_1 100 0 8.467 3.540 4.305 7.902 32.860
sd_α_2 100 0 0.914 0.366 0.410 0.845 3.283
sd_α_3 100 0 0.025 0.010 0.013 0.023 0.099
sd_γ_0 100 0 0.683 0.239 0.274 0.618 1.396
sd_γ_1 100 0 33.162 26.555 8.020 28.120 187.600
sd_γ_2 100 0 0.027 0.007 0.015 0.026 0.051
sd_γ_3 100 0 0.028 0.008 0.015 0.027 0.053
sd_θ 100 0 0.067 0.024 0.027 0.061 0.130
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 100\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 100.000 0.000 100.000 100.000 100.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.079 0.710 8.357 9.956 13.374
α_1 100 0 −5.827 50.208 −119.702 1.818 123.228
α_2 100 0 20.975 6.353 4.808 19.588 36.780
α_3 100 0 1.019 0.150 0.700 0.997 1.424
γ_0 100 0 0.844 1.080 −2.479 0.841 2.832
γ_1 100 0 −1.076 73.058 −309.002 5.744 216.125
γ_2 100 0 1.035 0.164 0.622 1.004 1.578
γ_3 100 0 1.001 0.159 0.653 0.989 1.507
θ 100 0 0.370 0.455 −0.590 0.262 2.811
sd_α_0 100 0 0.040 0.010 0.025 0.038 0.087
sd_α_1 100 0 4.322 1.091 2.402 4.212 8.611
sd_α_2 100 0 0.468 0.110 0.259 0.459 0.884
sd_α_3 100 0 0.012 0.002 0.009 0.012 0.022
sd_γ_0 100 0 0.335 0.083 0.175 0.334 0.565
sd_γ_1 100 0 14.643 8.457 5.044 12.805 67.116
sd_γ_2 100 0 0.013 0.003 0.008 0.013 0.022
sd_γ_3 100 0 0.013 0.003 0.008 0.013 0.023
sd_θ 100 0 0.033 0.008 0.017 0.032 0.055
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 200\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 200.000 0.000 200.000 200.000 200.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.922 0.407 9.079 9.935 10.884
α_1 100 0 −1.508 28.923 −68.330 −3.907 68.355
α_2 100 0 19.881 3.396 11.564 19.740 28.292
α_3 100 0 0.982 0.101 0.768 0.984 1.289
γ_0 100 0 0.963 0.740 −1.027 1.044 2.517
γ_1 100 0 3.468 39.149 −95.363 5.773 124.265
γ_2 100 0 1.001 0.107 0.722 0.993 1.323
γ_3 100 0 1.007 0.115 0.692 1.011 1.284
θ 100 0 0.335 0.224 −0.319 0.307 1.260
sd_α_0 100 0 0.019 0.003 0.013 0.019 0.028
sd_α_1 100 0 2.036 0.326 1.319 1.986 3.045
sd_α_2 100 0 0.221 0.033 0.158 0.210 0.342
sd_α_3 100 0 0.006 0.001 0.004 0.006 0.008
sd_γ_0 100 0 0.164 0.033 0.101 0.162 0.252
sd_γ_1 100 0 6.542 1.684 3.147 6.434 11.497
sd_γ_2 100 0 0.006 0.001 0.004 0.006 0.009
sd_γ_3 100 0 0.006 0.001 0.005 0.006 0.009
sd_θ 100 0 0.016 0.003 0.010 0.016 0.023
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 1000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 1000.000 0.000 1000.000 1000.000 1000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.014 0.213 9.553 10.005 10.726
α_1 100 0 −0.823 13.567 −28.407 −2.822 40.858
α_2 100 0 20.238 1.701 16.009 20.199 24.180
α_3 100 0 1.003 0.048 0.920 1.002 1.161
γ_0 100 0 0.996 0.287 0.179 1.020 1.546
γ_1 100 0 0.838 15.013 −52.136 2.099 33.161
γ_2 100 0 1.000 0.046 0.914 1.001 1.111
γ_3 100 0 1.009 0.043 0.914 1.004 1.135
θ 100 0 0.332 0.085 0.141 0.328 0.651
sd_α_0 100 0 0.004 0.000 0.003 0.004 0.005
sd_α_1 100 0 0.412 0.030 0.350 0.411 0.522
sd_α_2 100 0 0.045 0.003 0.038 0.045 0.057
sd_α_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_0 100 0 0.032 0.003 0.024 0.032 0.041
sd_γ_1 100 0 1.277 0.177 0.872 1.266 1.873
sd_γ_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_θ 100 0 0.003 0.000 0.002 0.003 0.004
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 2000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 2000.000 0.000 2000.000 2000.000 2000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.988 0.137 9.717 9.973 10.406
α_1 100 0 1.148 10.368 −31.475 0.356 30.391
α_2 100 0 19.959 1.206 17.236 19.892 23.249
α_3 100 0 0.999 0.031 0.925 0.999 1.086
γ_0 100 0 0.963 0.199 0.531 0.942 1.557
γ_1 100 0 1.428 9.773 −22.716 1.421 22.038
γ_2 100 0 1.004 0.028 0.907 1.002 1.069
γ_3 100 0 1.001 0.033 0.920 1.001 1.070
θ 100 0 0.334 0.057 0.212 0.335 0.480
sd_α_0 100 0 0.002 0.000 0.002 0.002 0.002
sd_α_1 100 0 0.207 0.013 0.183 0.206 0.243
sd_α_2 100 0 0.022 0.001 0.020 0.022 0.026
sd_α_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_0 100 0 0.016 0.001 0.013 0.016 0.019
sd_γ_1 100 0 0.630 0.060 0.499 0.625 0.782
sd_γ_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_θ 100 0 0.002 0.000 0.001 0.002 0.002
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 5000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 5000.000 0.000 5000.000 5000.000 5000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.001 0.098 9.752 10.008 10.213
α_1 100 0 1.032 6.687 −12.985 1.126 13.148
α_2 100 0 20.003 0.827 17.757 19.938 22.084
α_3 100 0 1.001 0.022 0.938 1.002 1.048
γ_0 100 0 1.011 0.140 0.692 1.023 1.314
γ_1 100 0 0.305 6.786 −21.431 1.053 16.437
γ_2 100 0 0.999 0.021 0.960 1.000 1.050
γ_3 100 0 1.000 0.020 0.955 1.000 1.046
θ 100 0 0.332 0.042 0.211 0.330 0.483
sd_α_0 100 0 0.001 0.000 0.001 0.001 0.001
sd_α_1 100 0 0.083 0.003 0.076 0.083 0.088
sd_α_2 100 0 0.009 0.000 0.008 0.009 0.010
sd_α_3 100 0 0.000 0.000 0.000 0.000 0.000
sd_γ_0 100 0 0.006 0.000 0.006 0.006 0.007
sd_γ_1 100 0 0.250 0.016 0.220 0.248 0.304
sd_γ_2 100 0 0.000 0.000 0.000 0.000 0.000
sd_γ_3 100 0 0.000 0.000 0.000 0.000 0.000
sd_θ 100 0 0.001 0.000 0.001 0.001 0.001
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000

\(\theta = 0.5\)

\(\alpha_2 = 0.1\)

\(n = 50\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 50.000 0.000 50.000 50.000 50.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.070 1.044 7.915 9.982 13.936
α_1 100 0 0.974 1.347 −1.912 1.049 7.658
α_2 100 0 0.107 0.126 −0.276 0.093 0.585
α_3 100 0 0.987 0.208 0.523 0.976 1.566
γ_0 100 0 0.738 2.124 −9.781 1.169 3.994
γ_1 100 0 −214.829 729.833 −4324.575 0.961 5.283
γ_2 100 0 1.013 0.253 0.454 0.956 1.860
γ_3 100 0 1.032 0.233 0.498 1.021 1.832
θ 100 0 122.019 450.447 −1.289 0.616 3282.410
sd_α_0 100 0 0.082 0.030 0.031 0.075 0.195
sd_α_1 100 0 0.139 0.042 0.074 0.132 0.334
sd_α_2 100 0 0.014 0.004 0.007 0.013 0.040
sd_α_3 100 0 0.025 0.007 0.014 0.023 0.050
sd_γ_0 100 0 0.775 0.485 0.212 0.658 4.132
sd_γ_1 100 0 108.228 633.465 0.108 0.870 6126.095
sd_γ_2 100 0 0.028 0.010 0.012 0.026 0.072
sd_γ_3 100 0 0.028 0.009 0.015 0.026 0.070
sd_θ 100 0 0.076 0.049 0.021 0.067 0.427
status 2 0 4.280 1.379 4.000 4.000 11.000
status_indicator 2 0 0.960 0.197 0.000 1.000 1.000
\(n = 100\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 100.000 0.000 100.000 100.000 100.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.943 0.620 8.879 9.822 12.284
α_1 100 0 1.069 0.850 −0.684 1.102 5.283
α_2 100 0 0.090 0.075 −0.161 0.093 0.261
α_3 100 0 0.994 0.148 0.680 0.990 1.396
γ_0 100 0 0.998 1.121 −2.465 1.236 2.971
γ_1 100 0 −101.313 530.719 −4067.798 0.740 4.487
γ_2 100 0 0.996 0.170 0.620 1.001 1.466
γ_3 100 0 1.008 0.139 0.745 1.000 1.398
θ 100 0 58.570 316.320 −0.881 0.669 2252.417
sd_α_0 100 0 0.038 0.010 0.024 0.036 0.092
sd_α_1 100 0 0.069 0.015 0.044 0.067 0.123
sd_α_2 100 0 0.007 0.001 0.005 0.007 0.011
sd_α_3 100 0 0.012 0.002 0.008 0.011 0.018
sd_γ_0 100 0 0.349 0.095 0.152 0.328 0.624
sd_γ_1 100 0 34.639 169.105 0.128 0.487 1063.523
sd_γ_2 100 0 0.013 0.003 0.008 0.012 0.024
sd_γ_3 100 0 0.013 0.003 0.008 0.012 0.021
sd_θ 100 0 0.034 0.009 0.017 0.033 0.063
status 2 0 4.140 0.985 4.000 4.000 11.000
status_indicator 2 0 0.980 0.141 0.000 1.000 1.000
\(n = 200\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 200.000 0.000 200.000 200.000 200.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.972 0.467 8.912 9.949 10.966
α_1 100 0 0.953 0.506 −0.215 0.908 2.705
α_2 100 0 0.103 0.050 −0.020 0.098 0.219
α_3 100 0 0.983 0.101 0.773 0.981 1.267
γ_0 100 0 0.951 0.743 −2.020 1.069 2.575
γ_1 100 0 −69.591 497.034 −3873.733 0.845 3.193
γ_2 100 0 1.006 0.110 0.716 0.992 1.472
γ_3 100 0 1.007 0.098 0.798 1.009 1.298
θ 100 0 40.622 281.739 −0.484 0.581 2162.232
sd_α_0 100 0 0.019 0.003 0.013 0.018 0.028
sd_α_1 100 0 0.033 0.005 0.025 0.033 0.048
sd_α_2 100 0 0.003 0.000 0.002 0.003 0.005
sd_α_3 100 0 0.006 0.001 0.004 0.006 0.009
sd_γ_0 100 0 0.168 0.035 0.099 0.165 0.285
sd_γ_1 100 0 7.769 55.524 0.084 0.202 496.479
sd_γ_2 100 0 0.007 0.001 0.005 0.007 0.011
sd_γ_3 100 0 0.006 0.001 0.004 0.006 0.010
sd_θ 100 0 0.016 0.004 0.009 0.016 0.029
status 2 0 4.070 0.700 4.000 4.000 11.000
status_indicator 2 0 0.990 0.100 0.000 1.000 1.000
\(n = 1000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 1000.000 0.000 1000.000 1000.000 1000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.992 0.197 9.598 9.982 10.443
α_1 100 0 0.975 0.235 0.360 0.962 1.452
α_2 100 0 0.102 0.023 0.059 0.100 0.187
α_3 100 0 1.001 0.046 0.915 0.997 1.101
γ_0 100 0 1.039 0.304 0.188 1.046 1.789
γ_1 100 0 1.062 0.491 −0.258 1.052 2.196
γ_2 100 0 0.997 0.045 0.897 0.998 1.134
γ_3 100 0 0.993 0.049 0.880 0.995 1.139
θ 100 0 0.462 0.262 −0.104 0.443 1.152
sd_α_0 100 0 0.004 0.000 0.003 0.004 0.005
sd_α_1 100 0 0.007 0.000 0.006 0.007 0.008
sd_α_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_α_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_0 100 0 0.034 0.003 0.027 0.033 0.042
sd_γ_1 100 0 0.043 0.011 0.024 0.042 0.074
sd_γ_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_θ 100 0 0.003 0.000 0.003 0.003 0.004
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 2000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 2000.000 0.000 2000.000 2000.000 2000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.008 0.139 9.666 10.013 10.278
α_1 100 0 0.995 0.176 0.583 0.985 1.451
α_2 100 0 0.101 0.017 0.064 0.102 0.144
α_3 100 0 1.005 0.030 0.930 1.005 1.080
γ_0 100 0 0.971 0.218 0.494 0.981 1.460
γ_1 100 0 0.942 0.341 −0.036 0.998 1.505
γ_2 100 0 1.004 0.034 0.932 1.003 1.078
γ_3 100 0 1.001 0.031 0.933 1.000 1.105
θ 100 0 0.533 0.171 0.211 0.507 0.969
sd_α_0 100 0 0.002 0.000 0.002 0.002 0.002
sd_α_1 100 0 0.003 0.000 0.003 0.003 0.004
sd_α_2 100 0 0.000 0.000 0.000 0.000 0.000
sd_α_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_0 100 0 0.017 0.001 0.015 0.017 0.021
sd_γ_1 100 0 0.021 0.004 0.014 0.020 0.035
sd_γ_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_θ 100 0 0.002 0.000 0.001 0.002 0.002
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 5000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 5000.000 0.000 5000.000 5000.000 5000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.005 0.084 9.802 10.012 10.204
α_1 100 0 1.022 0.106 0.801 1.032 1.255
α_2 100 0 0.098 0.010 0.077 0.098 0.123
α_3 100 0 1.001 0.021 0.945 0.999 1.046
γ_0 100 0 1.004 0.140 0.666 1.009 1.300
γ_1 100 0 0.980 0.233 0.471 0.961 1.494
γ_2 100 0 0.999 0.020 0.959 1.000 1.057
γ_3 100 0 0.997 0.020 0.951 0.996 1.051
θ 100 0 0.507 0.117 0.244 0.514 0.770
sd_α_0 100 0 0.001 0.000 0.001 0.001 0.001
sd_α_1 100 0 0.001 0.000 0.001 0.001 0.001
sd_α_2 100 0 0.000 0.000 0.000 0.000 0.000
sd_α_3 100 0 0.000 0.000 0.000 0.000 0.000
sd_γ_0 100 0 0.007 0.000 0.006 0.007 0.007
sd_γ_1 100 0 0.009 0.001 0.006 0.009 0.011
sd_γ_2 100 0 0.000 0.000 0.000 0.000 0.000
sd_γ_3 100 0 0.000 0.000 0.000 0.000 0.000
sd_θ 100 0 0.001 0.000 0.001 0.001 0.001
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000

\(\alpha_2 = 0.5\)

\(n = 50\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 50.000 0.000 50.000 50.000 50.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.919 1.030 7.960 9.701 14.079
α_1 100 0 0.628 2.482 −4.577 0.383 7.811
α_2 100 0 0.523 0.293 −0.166 0.537 1.309
α_3 100 0 0.993 0.217 0.623 0.971 1.780
γ_0 100 0 0.330 1.867 −7.538 0.554 3.598
γ_1 100 0 −286.056 1966.712 −15328.455 1.122 15.525
γ_2 100 0 1.066 0.258 0.526 1.025 1.782
γ_3 100 0 1.056 0.285 0.593 0.997 2.381
θ 100 0 55.225 370.781 −0.835 0.564 2853.377
sd_α_0 100 0 0.079 0.032 0.030 0.070 0.207
sd_α_1 100 0 0.314 0.092 0.144 0.303 0.780
sd_α_2 100 0 0.033 0.009 0.016 0.032 0.069
sd_α_3 100 0 0.025 0.009 0.012 0.023 0.071
sd_γ_0 100 0 0.799 0.297 0.357 0.750 1.997
sd_γ_1 100 0 87.000 565.375 0.469 1.270 4536.000
sd_γ_2 100 0 0.030 0.010 0.013 0.027 0.070
sd_γ_3 100 0 0.029 0.010 0.013 0.026 0.076
sd_θ 100 0 0.078 0.029 0.032 0.072 0.186
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 100\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 100.000 0.000 100.000 100.000 100.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.042 0.710 8.658 9.920 12.798
α_1 100 0 1.137 1.923 −3.704 0.923 6.677
α_2 100 0 0.494 0.195 0.001 0.486 1.028
α_3 100 0 1.019 0.154 0.644 1.032 1.481
γ_0 100 0 1.102 1.004 −1.346 1.185 3.312
γ_1 100 0 −32.439 327.140 −3270.818 1.265 7.338
γ_2 100 0 0.993 0.147 0.644 0.981 1.395
γ_3 100 0 0.989 0.140 0.699 1.000 1.514
θ 100 0 5.600 49.887 −0.536 0.394 499.419
sd_α_0 100 0 0.039 0.010 0.022 0.038 0.086
sd_α_1 100 0 0.162 0.037 0.097 0.156 0.348
sd_α_2 100 0 0.017 0.003 0.010 0.016 0.030
sd_α_3 100 0 0.012 0.003 0.008 0.012 0.023
sd_γ_0 100 0 0.328 0.098 0.196 0.312 0.726
sd_γ_1 100 0 6.231 54.829 0.224 0.640 549.014
sd_γ_2 100 0 0.013 0.003 0.008 0.012 0.019
sd_γ_3 100 0 0.013 0.002 0.008 0.012 0.021
sd_θ 100 0 0.032 0.010 0.018 0.031 0.071
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 200\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 200.000 0.000 200.000 200.000 200.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.008 0.452 9.236 9.951 11.002
α_1 100 0 0.901 1.288 −2.563 0.945 4.009
α_2 100 0 0.511 0.126 0.169 0.517 0.786
α_3 100 0 0.992 0.093 0.735 0.992 1.356
γ_0 100 0 1.006 0.654 −0.650 0.996 2.533
γ_1 100 0 0.888 1.891 −8.429 0.982 6.502
γ_2 100 0 0.997 0.101 0.789 0.992 1.328
γ_3 100 0 0.993 0.107 0.778 0.981 1.295
θ 100 0 0.526 0.355 −0.233 0.480 2.127
sd_α_0 100 0 0.019 0.003 0.014 0.019 0.028
sd_α_1 100 0 0.078 0.011 0.055 0.078 0.121
sd_α_2 100 0 0.008 0.001 0.006 0.008 0.012
sd_α_3 100 0 0.006 0.001 0.005 0.006 0.008
sd_γ_0 100 0 0.168 0.035 0.108 0.165 0.263
sd_γ_1 100 0 0.320 0.131 0.112 0.280 0.756
sd_γ_2 100 0 0.006 0.001 0.005 0.006 0.008
sd_γ_3 100 0 0.006 0.001 0.005 0.006 0.008
sd_θ 100 0 0.016 0.004 0.010 0.016 0.026
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 1000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 1000.000 0.000 1000.000 1000.000 1000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.985 0.190 9.511 9.980 10.607
α_1 100 0 1.057 0.577 −0.562 1.106 2.106
α_2 100 0 0.492 0.063 0.370 0.482 0.652
α_3 100 0 0.997 0.045 0.884 0.996 1.102
γ_0 100 0 0.982 0.338 −0.035 1.001 2.124
γ_1 100 0 0.902 0.769 −0.901 0.913 2.540
γ_2 100 0 1.001 0.050 0.801 1.000 1.140
γ_3 100 0 1.003 0.046 0.873 0.999 1.142
θ 100 0 0.524 0.125 0.268 0.531 0.880
sd_α_0 100 0 0.004 0.000 0.003 0.004 0.004
sd_α_1 100 0 0.016 0.001 0.013 0.016 0.019
sd_α_2 100 0 0.002 0.000 0.001 0.002 0.002
sd_α_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_0 100 0 0.033 0.003 0.027 0.033 0.041
sd_γ_1 100 0 0.062 0.010 0.042 0.061 0.095
sd_γ_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_3 100 0 0.001 0.000 0.001 0.001 0.002
sd_θ 100 0 0.003 0.000 0.003 0.003 0.004
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 2000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 2000.000 0.000 2000.000 2000.000 2000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.997 0.154 9.672 9.988 10.373
α_1 100 0 0.951 0.370 0.116 0.988 2.276
α_2 100 0 0.505 0.040 0.409 0.505 0.618
α_3 100 0 1.001 0.034 0.914 0.997 1.070
γ_0 100 0 0.964 0.232 0.407 0.968 1.403
γ_1 100 0 1.000 0.510 −0.121 0.996 2.040
γ_2 100 0 1.005 0.035 0.936 1.008 1.084
γ_3 100 0 1.004 0.036 0.907 1.003 1.092
θ 100 0 0.507 0.091 0.315 0.521 0.694
sd_α_0 100 0 0.002 0.000 0.002 0.002 0.002
sd_α_1 100 0 0.008 0.000 0.007 0.008 0.009
sd_α_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_α_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_0 100 0 0.016 0.001 0.014 0.016 0.024
sd_γ_1 100 0 0.030 0.004 0.023 0.029 0.045
sd_γ_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_θ 100 0 0.002 0.000 0.001 0.002 0.002
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 5000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 5000.000 0.000 5000.000 5000.000 5000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.001 0.085 9.719 10.004 10.156
α_1 100 0 1.011 0.213 0.549 1.025 1.559
α_2 100 0 0.499 0.024 0.432 0.501 0.555
α_3 100 0 0.998 0.019 0.940 0.999 1.048
γ_0 100 0 0.994 0.146 0.514 0.997 1.269
γ_1 100 0 1.053 0.346 −0.060 1.089 1.882
γ_2 100 0 1.001 0.022 0.957 1.002 1.054
γ_3 100 0 1.001 0.021 0.940 0.997 1.069
θ 100 0 0.491 0.065 0.342 0.489 0.675
sd_α_0 100 0 0.001 0.000 0.001 0.001 0.001
sd_α_1 100 0 0.003 0.000 0.003 0.003 0.003
sd_α_2 100 0 0.000 0.000 0.000 0.000 0.000
sd_α_3 100 0 0.000 0.000 0.000 0.000 0.000
sd_γ_0 100 0 0.006 0.000 0.006 0.006 0.007
sd_γ_1 100 0 0.012 0.001 0.010 0.012 0.015
sd_γ_2 100 0 0.000 0.000 0.000 0.000 0.000
sd_γ_3 100 0 0.000 0.000 0.000 0.000 0.000
sd_θ 100 0 0.001 0.000 0.001 0.001 0.001
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000

\(\alpha_2 = 1.0\)

\(n = 50\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 50.000 0.000 50.000 50.000 50.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.025 1.054 8.416 9.819 13.799
α_1 100 0 1.174 4.966 −12.689 0.825 25.156
α_2 100 0 0.989 0.588 −0.632 0.949 2.952
α_3 100 0 1.004 0.258 0.489 0.952 1.923
γ_0 100 0 0.814 1.716 −9.207 0.869 4.640
γ_1 100 0 −3.795 28.524 −259.759 2.076 17.332
γ_2 100 0 1.034 0.225 0.592 1.059 2.011
γ_3 100 0 1.009 0.230 0.473 1.016 1.900
θ 100 0 1.090 3.227 −1.121 0.344 30.113
sd_α_0 100 0 0.079 0.032 0.039 0.071 0.217
sd_α_1 100 0 0.570 0.225 0.262 0.539 1.826
sd_α_2 100 0 0.061 0.025 0.035 0.056 0.176
sd_α_3 100 0 0.025 0.009 0.012 0.023 0.065
sd_γ_0 100 0 0.724 0.255 0.262 0.687 1.518
sd_γ_1 100 0 3.898 7.992 0.470 2.046 72.261
sd_γ_2 100 0 0.027 0.009 0.014 0.026 0.083
sd_γ_3 100 0 0.027 0.010 0.013 0.026 0.084
sd_θ 100 0 0.072 0.026 0.028 0.066 0.144
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 100\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 100.000 0.000 100.000 100.000 100.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.014 0.683 8.583 9.864 12.234
α_1 100 0 0.899 2.964 −7.428 0.718 8.488
α_2 100 0 1.017 0.314 0.322 1.005 2.141
α_3 100 0 0.993 0.136 0.714 0.979 1.387
γ_0 100 0 0.880 0.947 −2.870 0.853 2.937
γ_1 100 0 0.723 4.365 −14.154 1.815 9.577
γ_2 100 0 1.019 0.142 0.696 1.016 1.576
γ_3 100 0 1.008 0.136 0.677 0.994 1.416
θ 100 0 0.542 0.431 −0.306 0.429 2.409
sd_α_0 100 0 0.040 0.010 0.024 0.038 0.064
sd_α_1 100 0 0.275 0.064 0.164 0.268 0.511
sd_α_2 100 0 0.029 0.007 0.018 0.028 0.055
sd_α_3 100 0 0.012 0.002 0.007 0.011 0.018
sd_γ_0 100 0 0.330 0.077 0.188 0.314 0.568
sd_γ_1 100 0 1.032 0.492 0.349 0.908 3.173
sd_γ_2 100 0 0.013 0.003 0.008 0.013 0.023
sd_γ_3 100 0 0.013 0.002 0.008 0.013 0.021
sd_θ 100 0 0.032 0.008 0.019 0.031 0.055
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 200\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 200.000 0.000 200.000 200.000 200.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.052 0.488 8.847 10.022 11.306
α_1 100 0 1.198 2.177 −3.931 1.367 6.972
α_2 100 0 0.993 0.241 0.512 0.976 1.761
α_3 100 0 1.016 0.106 0.780 1.002 1.317
γ_0 100 0 0.862 0.718 −2.439 0.947 2.256
γ_1 100 0 0.604 2.878 −7.175 1.118 6.459
γ_2 100 0 1.011 0.102 0.800 0.993 1.481
γ_3 100 0 1.015 0.098 0.820 0.999 1.366
θ 100 0 0.571 0.309 −0.035 0.516 1.487
sd_α_0 100 0 0.020 0.003 0.014 0.019 0.029
sd_α_1 100 0 0.140 0.022 0.101 0.141 0.213
sd_α_2 100 0 0.015 0.002 0.011 0.015 0.022
sd_α_3 100 0 0.006 0.001 0.004 0.006 0.008
sd_γ_0 100 0 0.164 0.032 0.094 0.158 0.251
sd_γ_1 100 0 0.514 0.170 0.223 0.481 1.175
sd_γ_2 100 0 0.006 0.001 0.005 0.006 0.010
sd_γ_3 100 0 0.006 0.001 0.004 0.006 0.009
sd_θ 100 0 0.016 0.003 0.009 0.016 0.025
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 1000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 1000.000 0.000 1000.000 1000.000 1000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.032 0.204 9.599 10.041 10.669
α_1 100 0 1.042 0.942 −1.293 1.059 3.488
α_2 100 0 1.005 0.111 0.657 1.021 1.303
α_3 100 0 1.004 0.041 0.910 1.006 1.118
γ_0 100 0 0.930 0.343 0.017 0.994 1.878
γ_1 100 0 1.012 1.121 −1.948 1.030 4.781
γ_2 100 0 1.006 0.052 0.900 0.999 1.138
γ_3 100 0 1.007 0.041 0.875 1.007 1.106
θ 100 0 0.510 0.120 0.157 0.505 0.916
sd_α_0 100 0 0.004 0.000 0.003 0.004 0.005
sd_α_1 100 0 0.028 0.002 0.023 0.028 0.034
sd_α_2 100 0 0.003 0.000 0.002 0.003 0.004
sd_α_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_0 100 0 0.033 0.003 0.025 0.033 0.041
sd_γ_1 100 0 0.095 0.013 0.070 0.094 0.128
sd_γ_2 100 0 0.001 0.000 0.001 0.001 0.002
sd_γ_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_θ 100 0 0.003 0.000 0.002 0.003 0.004
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 2000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 2000.000 0.000 2000.000 2000.000 2000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.032 0.154 9.640 10.025 10.500
α_1 100 0 1.070 0.659 −0.595 0.976 2.432
α_2 100 0 1.003 0.079 0.770 1.007 1.191
α_3 100 0 1.005 0.031 0.933 1.000 1.081
γ_0 100 0 0.959 0.243 0.362 0.964 1.572
γ_1 100 0 1.038 0.850 −1.009 1.011 3.044
γ_2 100 0 1.008 0.034 0.924 1.006 1.079
γ_3 100 0 1.004 0.031 0.916 1.004 1.088
θ 100 0 0.498 0.081 0.262 0.494 0.674
sd_α_0 100 0 0.002 0.000 0.002 0.002 0.002
sd_α_1 100 0 0.014 0.001 0.012 0.014 0.016
sd_α_2 100 0 0.001 0.000 0.001 0.001 0.002
sd_α_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_0 100 0 0.016 0.001 0.013 0.016 0.020
sd_γ_1 100 0 0.047 0.005 0.038 0.047 0.061
sd_γ_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_θ 100 0 0.002 0.000 0.001 0.002 0.002
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 5000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 5000.000 0.000 5000.000 5000.000 5000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.987 0.095 9.744 9.980 10.205
α_1 100 0 0.971 0.444 −0.180 0.945 2.023
α_2 100 0 0.998 0.049 0.888 0.999 1.115
α_3 100 0 0.996 0.021 0.948 0.993 1.054
γ_0 100 0 1.017 0.139 0.709 0.993 1.369
γ_1 100 0 1.077 0.439 0.033 1.085 2.112
γ_2 100 0 0.997 0.021 0.945 0.999 1.064
γ_3 100 0 0.997 0.021 0.949 0.996 1.056
θ 100 0 0.494 0.045 0.372 0.495 0.612
sd_α_0 100 0 0.001 0.000 0.001 0.001 0.001
sd_α_1 100 0 0.005 0.000 0.005 0.005 0.006
sd_α_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_α_3 100 0 0.000 0.000 0.000 0.000 0.000
sd_γ_0 100 0 0.006 0.000 0.006 0.006 0.007
sd_γ_1 100 0 0.018 0.001 0.015 0.018 0.021
sd_γ_2 100 0 0.000 0.000 0.000 0.000 0.000
sd_γ_3 100 0 0.000 0.000 0.000 0.000 0.000
sd_θ 100 0 0.001 0.000 0.001 0.001 0.001
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000

\(\alpha_2 = 5.0\)

\(n = 50\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 50.000 0.000 50.000 50.000 50.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.907 0.853 8.084 9.839 13.046
α_1 100 0 1.161 19.800 −56.477 −1.308 46.467
α_2 100 0 4.848 2.269 0.003 5.057 11.967
α_3 100 0 0.994 0.177 0.653 0.978 1.503
γ_0 100 0 0.737 1.491 −4.036 1.038 3.492
γ_1 100 0 −582.950 4443.348 −42303.515 −1.741 71.707
γ_2 100 0 1.031 0.235 0.594 0.993 1.703
γ_3 100 0 1.046 0.223 0.616 1.027 1.849
θ 100 0 20.117 153.823 −0.625 0.610 1485.145
sd_α_0 100 0 0.076 0.025 0.037 0.071 0.160
sd_α_1 100 0 2.448 0.796 0.978 2.383 4.923
sd_α_2 100 0 0.265 0.081 0.110 0.248 0.523
sd_α_3 100 0 0.024 0.006 0.013 0.023 0.042
sd_γ_0 100 0 0.698 0.296 0.219 0.621 2.032
sd_γ_1 100 0 94.804 583.085 1.529 8.085 4912.099
sd_γ_2 100 0 0.028 0.008 0.014 0.027 0.048
sd_γ_3 100 0 0.026 0.007 0.014 0.025 0.047
sd_θ 100 0 0.068 0.028 0.016 0.063 0.196
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 100\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 100.000 0.000 100.000 100.000 100.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.060 0.675 8.425 10.004 12.044
α_1 100 0 0.282 13.587 −33.200 −1.095 43.051
α_2 100 0 5.147 1.474 0.676 5.129 9.030
α_3 100 0 0.999 0.156 0.745 0.993 1.553
γ_0 100 0 0.844 1.140 −2.899 1.024 2.943
γ_1 100 0 0.865 26.412 −216.314 3.537 34.904
γ_2 100 0 1.012 0.164 0.663 0.998 1.461
γ_3 100 0 1.014 0.162 0.692 1.028 1.501
θ 100 0 0.549 0.553 −0.152 0.444 4.770
sd_α_0 100 0 0.040 0.010 0.022 0.037 0.074
sd_α_1 100 0 1.233 0.280 0.668 1.204 2.298
sd_α_2 100 0 0.132 0.027 0.084 0.130 0.221
sd_α_3 100 0 0.012 0.003 0.008 0.011 0.020
sd_γ_0 100 0 0.348 0.095 0.155 0.333 0.664
sd_γ_1 100 0 4.730 3.362 1.620 4.313 31.727
sd_γ_2 100 0 0.013 0.002 0.009 0.013 0.022
sd_γ_3 100 0 0.013 0.003 0.009 0.013 0.024
sd_θ 100 0 0.034 0.009 0.016 0.032 0.064
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 200\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 200.000 0.000 200.000 200.000 200.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.960 0.473 8.789 9.966 11.243
α_1 100 0 −0.095 9.647 −19.686 0.279 20.684
α_2 100 0 5.058 1.106 2.841 4.852 8.631
α_3 100 0 0.994 0.114 0.770 0.985 1.251
γ_0 100 0 0.880 0.783 −2.403 0.970 2.485
γ_1 100 0 0.108 12.032 −39.482 0.970 26.673
γ_2 100 0 1.010 0.117 0.754 1.012 1.428
γ_3 100 0 1.014 0.124 0.776 0.992 1.414
θ 100 0 0.552 0.268 −0.004 0.518 1.557
sd_α_0 100 0 0.019 0.003 0.013 0.019 0.030
sd_α_1 100 0 0.586 0.104 0.328 0.565 1.076
sd_α_2 100 0 0.064 0.011 0.038 0.062 0.110
sd_α_3 100 0 0.006 0.001 0.004 0.006 0.008
sd_γ_0 100 0 0.163 0.036 0.096 0.157 0.316
sd_γ_1 100 0 1.925 0.668 0.780 1.746 4.753
sd_γ_2 100 0 0.006 0.001 0.004 0.006 0.010
sd_γ_3 100 0 0.006 0.001 0.005 0.006 0.011
sd_θ 100 0 0.016 0.003 0.009 0.015 0.031
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 1000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 1000.000 0.000 1000.000 1000.000 1000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.016 0.184 9.555 10.003 10.435
α_1 100 0 1.571 3.895 −7.121 1.534 10.478
α_2 100 0 4.965 0.453 3.772 4.948 5.792
α_3 100 0 1.003 0.043 0.913 1.002 1.110
γ_0 100 0 1.013 0.281 0.181 0.998 1.616
γ_1 100 0 0.285 4.807 −9.959 0.197 11.288
γ_2 100 0 0.999 0.040 0.905 1.003 1.133
γ_3 100 0 0.994 0.044 0.886 0.990 1.122
θ 100 0 0.511 0.099 0.243 0.515 0.698
sd_α_0 100 0 0.004 0.000 0.003 0.004 0.005
sd_α_1 100 0 0.121 0.010 0.101 0.120 0.145
sd_α_2 100 0 0.013 0.001 0.011 0.013 0.015
sd_α_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_0 100 0 0.031 0.002 0.027 0.031 0.038
sd_γ_1 100 0 0.373 0.047 0.270 0.371 0.538
sd_γ_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_θ 100 0 0.003 0.000 0.003 0.003 0.004
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 2000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 2000.000 0.000 2000.000 2000.000 2000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.005 0.139 9.680 10.007 10.451
α_1 100 0 1.166 2.547 −3.731 0.902 6.745
α_2 100 0 4.994 0.341 4.223 5.031 5.811
α_3 100 0 1.004 0.034 0.927 1.005 1.089
γ_0 100 0 1.003 0.201 0.508 1.017 1.605
γ_1 100 0 0.523 3.522 −11.355 0.797 9.824
γ_2 100 0 0.999 0.028 0.905 0.997 1.072
γ_3 100 0 0.998 0.029 0.883 1.000 1.047
θ 100 0 0.509 0.084 0.293 0.506 0.722
sd_α_0 100 0 0.002 0.000 0.002 0.002 0.002
sd_α_1 100 0 0.060 0.003 0.053 0.060 0.067
sd_α_2 100 0 0.006 0.000 0.006 0.007 0.007
sd_α_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_0 100 0 0.016 0.001 0.014 0.016 0.018
sd_γ_1 100 0 0.184 0.016 0.147 0.181 0.230
sd_γ_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_θ 100 0 0.002 0.000 0.001 0.002 0.002
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 5000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 5000.000 0.000 5000.000 5000.000 5000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.000 0.085 9.800 10.005 10.220
α_1 100 0 0.678 1.526 −2.974 0.854 3.926
α_2 100 0 5.032 0.195 4.544 5.025 5.640
α_3 100 0 0.998 0.018 0.954 1.001 1.045
γ_0 100 0 0.986 0.142 0.638 0.985 1.294
γ_1 100 0 1.516 1.977 −3.769 1.449 6.051
γ_2 100 0 1.001 0.021 0.952 1.001 1.053
γ_3 100 0 1.001 0.019 0.962 0.998 1.050
θ 100 0 0.492 0.046 0.384 0.492 0.630
sd_α_0 100 0 0.001 0.000 0.001 0.001 0.001
sd_α_1 100 0 0.024 0.001 0.022 0.024 0.026
sd_α_2 100 0 0.003 0.000 0.002 0.003 0.003
sd_α_3 100 0 0.000 0.000 0.000 0.000 0.000
sd_γ_0 100 0 0.006 0.000 0.006 0.006 0.007
sd_γ_1 100 0 0.074 0.004 0.064 0.074 0.084
sd_γ_2 100 0 0.000 0.000 0.000 0.000 0.000
sd_γ_3 100 0 0.000 0.000 0.000 0.000 0.000
sd_θ 100 0 0.001 0.000 0.001 0.001 0.001
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000

\(\alpha_2 = 20.0\)

\(n = 50\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 50.000 0.000 50.000 50.000 50.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.952 1.012 8.115 9.864 13.583
α_1 100 0 −6.084 81.133 −175.858 −5.806 224.524
α_2 100 0 20.447 8.569 −2.178 20.765 39.275
α_3 100 0 0.966 0.235 0.550 0.939 1.762
γ_0 100 0 0.839 1.760 −7.683 1.029 4.745
γ_1 100 0 −180.387 1349.591 −13211.822 −2.292 213.426
γ_2 100 0 1.024 0.252 0.573 1.000 2.014
γ_3 100 0 1.041 0.246 0.507 1.020 1.782
θ 100 0 1.630 7.742 −0.650 0.528 75.599
sd_α_0 100 0 0.080 0.032 0.041 0.072 0.208
sd_α_1 100 0 10.010 3.700 4.567 9.077 28.111
sd_α_2 100 0 1.086 0.392 0.522 0.977 2.787
sd_α_3 100 0 0.024 0.008 0.012 0.023 0.059
sd_γ_0 100 0 0.697 0.333 0.203 0.628 2.160
sd_γ_1 100 0 64.084 247.782 6.337 27.224 2475.643
sd_γ_2 100 0 0.027 0.010 0.014 0.026 0.079
sd_γ_3 100 0 0.028 0.010 0.013 0.026 0.075
sd_θ 100 0 0.067 0.033 0.021 0.060 0.218
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 100\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 100.000 0.000 100.000 100.000 100.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.919 0.624 8.551 9.892 12.815
α_1 100 0 3.180 50.544 −105.249 3.688 130.740
α_2 100 0 19.360 6.359 5.189 18.479 43.643
α_3 100 0 1.000 0.152 0.649 0.982 1.449
γ_0 100 0 1.025 0.794 −0.906 1.065 3.289
γ_1 100 0 −13.671 68.100 −233.919 −0.987 132.235
γ_2 100 0 1.000 0.125 0.665 0.995 1.288
γ_3 100 0 0.995 0.142 0.656 0.976 1.316
θ 100 0 0.599 0.411 −0.114 0.550 2.040
sd_α_0 100 0 0.038 0.010 0.022 0.036 0.096
sd_α_1 100 0 4.537 1.081 2.192 4.438 9.016
sd_α_2 100 0 0.494 0.117 0.290 0.479 1.092
sd_α_3 100 0 0.012 0.003 0.008 0.012 0.023
sd_γ_0 100 0 0.324 0.081 0.137 0.309 0.536
sd_γ_1 100 0 16.657 8.973 5.889 14.246 77.858
sd_γ_2 100 0 0.013 0.002 0.009 0.013 0.019
sd_γ_3 100 0 0.012 0.002 0.008 0.012 0.020
sd_θ 100 0 0.032 0.008 0.012 0.031 0.053
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 200\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 200.000 0.000 200.000 200.000 200.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.013 0.473 8.633 9.987 11.164
α_1 100 0 0.905 38.348 −127.127 7.208 71.531
α_2 100 0 20.126 4.806 9.769 19.467 38.683
α_3 100 0 1.013 0.100 0.800 1.018 1.314
γ_0 100 0 0.966 0.730 −2.368 1.007 2.269
γ_1 100 0 −5.639 39.944 −115.338 0.932 78.109
γ_2 100 0 0.995 0.109 0.738 0.993 1.296
γ_3 100 0 1.007 0.112 0.767 1.010 1.450
θ 100 0 0.557 0.275 0.022 0.550 1.717
sd_α_0 100 0 0.020 0.004 0.012 0.019 0.030
sd_α_1 100 0 2.409 0.454 1.560 2.318 3.722
sd_α_2 100 0 0.260 0.046 0.180 0.252 0.389
sd_α_3 100 0 0.006 0.001 0.004 0.006 0.008
sd_γ_0 100 0 0.160 0.032 0.112 0.155 0.257
sd_γ_1 100 0 7.558 2.582 3.681 6.921 17.379
sd_γ_2 100 0 0.006 0.001 0.004 0.006 0.009
sd_γ_3 100 0 0.006 0.001 0.005 0.006 0.009
sd_θ 100 0 0.016 0.003 0.011 0.015 0.026
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 1000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 1000.000 0.000 1000.000 1000.000 1000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.992 0.192 9.555 9.974 10.513
α_1 100 0 2.091 14.772 −39.193 3.266 45.123
α_2 100 0 19.835 1.710 14.689 19.769 23.925
α_3 100 0 1.002 0.042 0.916 0.996 1.100
γ_0 100 0 1.012 0.291 0.075 0.997 1.996
γ_1 100 0 2.385 16.937 −40.210 2.904 41.254
γ_2 100 0 0.997 0.044 0.879 1.000 1.134
γ_3 100 0 1.004 0.048 0.911 1.003 1.147
θ 100 0 0.494 0.096 0.264 0.503 0.706
sd_α_0 100 0 0.004 0.000 0.003 0.004 0.005
sd_α_1 100 0 0.466 0.034 0.391 0.464 0.592
sd_α_2 100 0 0.050 0.003 0.043 0.050 0.061
sd_α_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_0 100 0 0.031 0.003 0.025 0.031 0.040
sd_γ_1 100 0 1.416 0.205 1.031 1.396 2.070
sd_γ_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_θ 100 0 0.003 0.000 0.002 0.003 0.004
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 2000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 1000.000 0.000 1000.000 1000.000 1000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 9.992 0.192 9.555 9.974 10.513
α_1 100 0 2.091 14.772 −39.193 3.266 45.123
α_2 100 0 19.835 1.710 14.689 19.769 23.925
α_3 100 0 1.002 0.042 0.916 0.996 1.100
γ_0 100 0 1.012 0.291 0.075 0.997 1.996
γ_1 100 0 2.385 16.937 −40.210 2.904 41.254
γ_2 100 0 0.997 0.044 0.879 1.000 1.134
γ_3 100 0 1.004 0.048 0.911 1.003 1.147
θ 100 0 0.494 0.096 0.264 0.503 0.706
sd_α_0 100 0 0.004 0.000 0.003 0.004 0.005
sd_α_1 100 0 0.466 0.034 0.391 0.464 0.592
sd_α_2 100 0 0.050 0.003 0.043 0.050 0.061
sd_α_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_0 100 0 0.031 0.003 0.025 0.031 0.040
sd_γ_1 100 0 1.416 0.205 1.031 1.396 2.070
sd_γ_2 100 0 0.001 0.000 0.001 0.001 0.001
sd_γ_3 100 0 0.001 0.000 0.001 0.001 0.001
sd_θ 100 0 0.003 0.000 0.002 0.003 0.004
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000
\(n = 5000\)
Unique (#) Missing (%) Mean SD Min Median Max
T 1 0 5000.000 0.000 5000.000 5000.000 5000.000
σ 1 0 1.000 0.000 1.000 1.000 1.000
α_0 100 0 10.007 0.089 9.789 10.003 10.203
α_1 100 0 0.465 6.336 −19.340 0.529 15.995
α_2 100 0 20.081 0.789 18.157 20.126 22.977
α_3 100 0 1.002 0.019 0.961 1.000 1.045
γ_0 100 0 1.005 0.134 0.709 1.012 1.319
γ_1 100 0 0.452 7.439 −24.174 1.048 16.892
γ_2 100 0 1.000 0.020 0.952 1.000 1.051
γ_3 100 0 0.999 0.021 0.948 0.998 1.053
θ 100 0 0.501 0.045 0.426 0.496 0.628
sd_α_0 100 0 0.001 0.000 0.001 0.001 0.001
sd_α_1 100 0 0.093 0.003 0.086 0.093 0.103
sd_α_2 100 0 0.010 0.000 0.009 0.010 0.011
sd_α_3 100 0 0.000 0.000 0.000 0.000 0.000
sd_γ_0 100 0 0.006 0.000 0.006 0.006 0.007
sd_γ_1 100 0 0.280 0.014 0.250 0.280 0.312
sd_γ_2 100 0 0.000 0.000 0.000 0.000 0.000
sd_γ_3 100 0 0.000 0.000 0.000 0.000 0.000
sd_θ 100 0 0.001 0.000 0.001 0.001 0.001
status 1 0 4.000 0.000 4.000 4.000 4.000
status_indicator 1 0 1.000 0.000 1.000 1.000 1.000

Plot

iv_optimal

50 100 200 1000 2000 5000 10000

iv_optimal relative to benchmark

50 100 200 1000 2000 5000 10000